Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926bc |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
273232336023864 = 23 · 39 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 7 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22574,-1029563] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:373:1] |
Generators of the group modulo torsion |
j |
1601613/344 |
j-invariant |
L |
6.7702654621584 |
L(r)(E,1)/r! |
Ω |
0.39542481680599 |
Real period |
R |
1.4267915531211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37926a1 37926bb1 |
Quadratic twists by: -3 -7 |