Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950z |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
16614062500000 = 25 · 511 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6500,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:325:1] |
Generators of the group modulo torsion |
j |
5668315687/3100000 |
j-invariant |
L |
3.8082707738873 |
L(r)(E,1)/r! |
Ω |
0.56789772056023 |
Real period |
R |
0.83823869948511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190bi1 75950k1 |
Quadratic twists by: 5 -7 |