Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710y |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4256000 |
Modular degree for the optimal curve |
Δ |
-3.9301689663848E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 4 11+ 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3432215,9845703255] |
[a1,a2,a3,a4,a6] |
Generators |
[12383780:720220223:8000] |
Generators of the group modulo torsion |
j |
-13856857998859/121794818750 |
j-invariant |
L |
9.5588490173197 |
L(r)(E,1)/r! |
Ω |
0.098368789718996 |
Real period |
R |
9.7173595859271 |
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 |
39710j1 |
Quadratic twists by: -19 |