Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23716h |
Isogeny class |
Conductor |
23716 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8100 |
Modular degree for the optimal curve |
Δ |
1388903824 = 24 · 72 · 116 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282,-251] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
1.2502529150428 |
L(r)(E,1)/r! |
Ω |
1.2502529150428 |
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 |
94864ci1 23716a1 196a1 |
Quadratic twists by: -4 -7 -11 |