Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008cc |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
87473232 = 24 · 32 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-430] |
[a1,a2,a3,a4,a6] |
Generators |
[422:8676:1] |
Generators of the group modulo torsion |
j |
16384000000/5467077 |
j-invariant |
L |
7.9507715958223 |
L(r)(E,1)/r! |
Ω |
1.4426649427029 |
Real period |
R |
5.5111698954679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252c1 |
Quadratic twists by: -4 |