Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960df |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1507921920 = 212 · 36 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-601,5159] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:72:1] [-14:105:1] |
Generators of the group modulo torsion |
j |
5870966464/368145 |
j-invariant |
L |
12.727427790066 |
L(r)(E,1)/r! |
Ω |
1.4831967589423 |
Real period |
R |
1.4301797466628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cd1 48480a1 |
Quadratic twists by: -4 8 |