Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026bg |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-12241380613169664 = -1 · 29 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272273,55009793] |
[a1,a2,a3,a4,a6] |
Generators |
[333:-1256:1] |
Generators of the group modulo torsion |
j |
-14284562281/78336 |
j-invariant |
L |
9.1619381556323 |
L(r)(E,1)/r! |
Ω |
0.40294725216923 |
Real period |
R |
0.42106136842285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342i1 37026h1 |
Quadratic twists by: -3 -11 |