Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950ch |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34546176 |
Modular degree for the optimal curve |
Δ |
-2.7619951782227E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,52364787,-786157833469] |
[a1,a2,a3,a4,a6] |
Generators |
[316126332285:24392466859724:33698267] |
Generators of the group modulo torsion |
j |
20740806010942016877479/360750390625000000000 |
j-invariant |
L |
15.125684165764 |
L(r)(E,1)/r! |
Ω |
0.026795286764319 |
Real period |
R |
7.8401454925447 |
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 |
15190f1 75950cb1 |
Quadratic twists by: 5 -7 |