Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37191d |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-364692212498691 = -1 · 36 · 711 · 11 · 23 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,17820,70895] |
[a1,a2,a3,a4,a6] |
j |
5319051554816/3099832659 |
j-invariant |
L |
2.5946701965998 |
L(r)(E,1)/r! |
Ω |
0.32433377457775 |
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 |
111573z1 5313d1 |
Quadratic twists by: -3 -7 |