Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cj |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
109225539807431250 = 2 · 3 · 55 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-620025,186982917] |
[a1,a2,a3,a4,a6] |
Generators |
[3366:5533:8] |
Generators of the group modulo torsion |
j |
1552110194161/6431250 |
j-invariant |
L |
8.7711336975659 |
L(r)(E,1)/r! |
Ω |
0.33560413378405 |
Real period |
R |
1.7423571037284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bn1 |
Quadratic twists by: -19 |