Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864cv |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
166583835747811328 = 217 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239136,-40421632] |
[a1,a2,a3,a4,a6] |
j |
290521/32 |
j-invariant |
L |
7.8277138545592 |
L(r)(E,1)/r! |
Ω |
0.21743650152875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bn1 94864bm1 94864cw1 |
Quadratic twists by: -4 -7 -11 |