Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616r |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
897868800 |
Modular degree for the optimal curve |
Δ |
-1.6469465016618E+27 |
Discriminant |
Eigenvalues |
2- -3 1 7- -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-670104335467,-211135740252539018] |
[a1,a2,a3,a4,a6] |
Generators |
[9410754087966822907347874355439876392785699298362782790104654628051155715399480857537651895816275489311269:20881441387086496202762902145210583679887047335168484115509606611455596770800127582419161343913146154809908828:1858349691104518477656039755558385155099539930970035145550653986137012570909195012665358368411158367] |
Generators of the group modulo torsion |
j |
-276224883247284348942470254822596/13670717073915356861 |
j-invariant |
L |
3.4297115213024 |
L(r)(E,1)/r! |
Ω |
0.0026383593805406 |
Real period |
R |
162.49262451689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18088f1 |
Quadratic twists by: -7 |