Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950bp |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3136000 |
Modular degree for the optimal curve |
Δ |
312740454250000000 = 27 · 59 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18703325,-31141167875] |
[a1,a2,a3,a4,a6] |
Generators |
[125921218695:11031648812090:12649337] |
Generators of the group modulo torsion |
j |
9180531196019/3968 |
j-invariant |
L |
4.3554535132035 |
L(r)(E,1)/r! |
Ω |
0.072597197838458 |
Real period |
R |
14.998697067121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950dd1 75950bs1 |
Quadratic twists by: 5 -7 |