Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950dd |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
627200 |
Modular degree for the optimal curve |
Δ |
20015389072000 = 27 · 53 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 5 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-748133,-249129343] |
[a1,a2,a3,a4,a6] |
j |
9180531196019/3968 |
j-invariant |
L |
4.5453035641762 |
L(r)(E,1)/r! |
Ω |
0.16233226934279 |
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 |
75950bp1 75950dk1 |
Quadratic twists by: 5 -7 |