Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gm |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1480179667615875072 = -1 · 226 · 312 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-457779,132810482] |
[a1,a2,a3,a4,a6] |
Generators |
[991:25542:1] |
Generators of the group modulo torsion |
j |
-10358806345399/1445216256 |
j-invariant |
L |
8.2931220179588 |
L(r)(E,1)/r! |
Ω |
0.26010032808382 |
Real period |
R |
3.9855399632952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702q1 25872bp1 77616gr1 |
Quadratic twists by: -4 -3 -7 |