Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312y |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-207645887232 = -1 · 28 · 39 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,-20412] |
[a1,a2,a3,a4,a6] |
j |
193536/841 |
j-invariant |
L |
4.047913413132 |
L(r)(E,1)/r! |
Ω |
0.50598918994954 |
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 |
102312d1 102312u1 |
Quadratic twists by: -3 -7 |