Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fx |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
-3.6581841290896E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31790955,-69603736678] |
[a1,a2,a3,a4,a6] |
Generators |
[10422256277:938107975552:912673] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
7.2044299583683 |
L(r)(E,1)/r! |
Ω |
0.031770725341304 |
Real period |
R |
14.172697274779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bt1 25872bg1 77616fy1 |
Quadratic twists by: -4 -3 -7 |