Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dc |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
277083069677568 = 216 · 33 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68355,6831874] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1666:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
5.6573345310173 |
L(r)(E,1)/r! |
Ω |
0.55241231046535 |
Real period |
R |
2.5602862315527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702i1 77616dq3 1584h1 |
Quadratic twists by: -4 -3 -7 |