Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950k |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
1954627839062500000 = 25 · 511 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-318526,16194448] |
[a1,a2,a3,a4,a6] |
j |
5668315687/3100000 |
j-invariant |
L |
0.91429664007027 |
L(r)(E,1)/r! |
Ω |
0.22857415656661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190y1 75950z1 |
Quadratic twists by: 5 -7 |