Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926l |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-7832660299350768 = -1 · 24 · 38 · 79 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3078,-4258332] |
[a1,a2,a3,a4,a6] |
Generators |
[3072:168726:1] |
Generators of the group modulo torsion |
j |
37595375/91325808 |
j-invariant |
L |
4.8421086706766 |
L(r)(E,1)/r! |
Ω |
0.19305534429886 |
Real period |
R |
6.2703634134836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642bg1 5418g1 |
Quadratic twists by: -3 -7 |