Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320be |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1.0775793833607E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-859536,-262647360] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:4698:1] |
Generators of the group modulo torsion |
j |
17145749816087520529/2630809041408000 |
j-invariant |
L |
3.7309330637156 |
L(r)(E,1)/r! |
Ω |
0.15841231114266 |
Real period |
R |
1.9626700148635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998577737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790v1 |
Quadratic twists by: -4 |