Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616b |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-88355570688 = -1 · 210 · 33 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1029,-6566] |
[a1,a2,a3,a4,a6] |
Generators |
[11:78:1] |
Generators of the group modulo torsion |
j |
1815156/1331 |
j-invariant |
L |
5.7097195951409 |
L(r)(E,1)/r! |
Ω |
0.60302105728058 |
Real period |
R |
2.3671310998175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bl1 77616d1 77616m1 |
Quadratic twists by: -4 -3 -7 |