Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616go |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-495709175808 = -1 · 214 · 36 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1869,13426] |
[a1,a2,a3,a4,a6] |
Generators |
[9:176:1] |
Generators of the group modulo torsion |
j |
704969/484 |
j-invariant |
L |
4.7406186277021 |
L(r)(E,1)/r! |
Ω |
0.58748401945361 |
Real period |
R |
1.0086696982355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702r1 8624v1 77616gg1 |
Quadratic twists by: -4 -3 -7 |