Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910v |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
1564153842524332500 = 22 · 36 · 54 · 78 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-365174,59915972] |
[a1,a2,a3,a4,a6] |
Generators |
[1131:32509:1] |
Generators of the group modulo torsion |
j |
934194332888089/271328332500 |
j-invariant |
L |
5.6875126018983 |
L(r)(E,1)/r! |
Ω |
0.24870318444047 |
Real period |
R |
0.95286150941666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000974 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77910s1 |
Quadratic twists by: -7 |