Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
586225337499648 = 224 · 33 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50715,4238794] |
[a1,a2,a3,a4,a6] |
j |
1108717875/45056 |
j-invariant |
L |
2.0466002870123 |
L(r)(E,1)/r! |
Ω |
0.51165008073223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702be1 77616dc3 1584j1 |
Quadratic twists by: -4 -3 -7 |