Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
7742d |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
66621334528 = 210 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1087,6285] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:90:1] |
Generators of the group modulo torsion |
j |
1207949625/566272 |
j-invariant |
L |
2.9412706665462 |
L(r)(E,1)/r! |
Ω |
0.9831861650626 |
Real period |
R |
1.495785219048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61936k1 69678be1 1106d1 |
Quadratic twists by: -4 -3 -7 |