Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
95400bk |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
173866500000000 = 28 · 38 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15375,-368750] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:594:1] |
Generators of the group modulo torsion |
j |
1102736/477 |
j-invariant |
L |
8.5054769512159 |
L(r)(E,1)/r! |
Ω |
0.44593661452249 |
Real period |
R |
2.384160853253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800o1 95400p1 |
Quadratic twists by: -3 5 |