Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616bg |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-118294235136 = -1 · 211 · 37 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,16562] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-126:1] |
Generators of the group modulo torsion |
j |
-98/33 |
j-invariant |
L |
6.9384866268625 |
L(r)(E,1)/r! |
Ω |
0.85261853240328 |
Real period |
R |
0.33907732290442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808p1 25872a1 77616cg1 |
Quadratic twists by: -4 -3 -7 |