Atkin-Lehner |
2+ 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714f |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
783081785696038192 = 24 · 715 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3 -4 7- -5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20722354,36313525604] |
[a1,a2,a3,a4,a6] |
Generators |
[103080:3007334:27] |
Generators of the group modulo torsion |
j |
8364745833719133615849/6656085353008 |
j-invariant |
L |
5.7155913214783 |
L(r)(E,1)/r! |
Ω |
0.23595568077832 |
Real period |
R |
1.5139472649268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102c1 |
Quadratic twists by: -7 |