Atkin-Lehner |
2- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
126412h |
Isogeny class |
Conductor |
126412 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-124142051559688448 = -1 · 28 · 112 · 138 · 173 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 11- 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-299524,65432600] |
[a1,a2,a3,a4,a6] |
Generators |
[-563:7436:1] [113:5746:1] |
Generators of the group modulo torsion |
j |
-14230929232/594473 |
j-invariant |
L |
7.5275743261231 |
L(r)(E,1)/r! |
Ω |
0.32768300055142 |
Real period |
R |
1.2762290779295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126412d1 |
Quadratic twists by: 13 |