Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096s |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
582812096790528 = 226 · 37 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29595,1578314] |
[a1,a2,a3,a4,a6] |
Generators |
[55:342:1] |
Generators of the group modulo torsion |
j |
960044289625/195182592 |
j-invariant |
L |
5.4991260355454 |
L(r)(E,1)/r! |
Ω |
0.48916005291945 |
Real period |
R |
1.4052471176676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762p1 120384do1 10032i1 |
Quadratic twists by: -4 8 -3 |