Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bd |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
2263528769266980 = 22 · 38 · 5 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38003,1709871] |
[a1,a2,a3,a4,a6] |
Generators |
[-1506:12523:8] |
Generators of the group modulo torsion |
j |
13997521/5220 |
j-invariant |
L |
9.7546152794737 |
L(r)(E,1)/r! |
Ω |
0.42149484084843 |
Real period |
R |
2.8928631893076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230d1 2610d1 |
Quadratic twists by: -3 29 |