Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240g |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1207360 = 26 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3192:1] |
Generators of the group modulo torsion |
j |
11852352/55 |
j-invariant |
L |
5.7523034382522 |
L(r)(E,1)/r! |
Ω |
1.4062350550766 |
Real period |
R |
4.0905703608379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240v1 86240n1 |
Quadratic twists by: -4 -7 |