Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926b |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3185784 = 23 · 33 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 4 -7 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-3:6:1] |
Generators of the group modulo torsion |
j |
1601613/344 |
j-invariant |
L |
5.7156993841407 |
L(r)(E,1)/r! |
Ω |
1.8120641546775 |
Real period |
R |
0.78856195148871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37926bb1 37926a1 |
Quadratic twists by: -3 -7 |