Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634ce |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-21934170849024 = -1 · 28 · 39 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6826,-62107] |
[a1,a2,a3,a4,a6] |
Generators |
[37:471:1] |
Generators of the group modulo torsion |
j |
410172407/255744 |
j-invariant |
L |
10.240408417712 |
L(r)(E,1)/r! |
Ω |
0.39126517898009 |
Real period |
R |
1.6357845279648 |
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 |
10878s1 666f1 |
Quadratic twists by: -3 -7 |