Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926x |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-132145672764801024 = -1 · 214 · 313 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70110,15946132] |
[a1,a2,a3,a4,a6] |
j |
444369620591/1540767744 |
j-invariant |
L |
1.86460054688 |
L(r)(E,1)/r! |
Ω |
0.23307506836377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642z1 774d1 |
Quadratic twists by: -3 -7 |