Atkin-Lehner |
2- 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850i |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-519193250000 = -1 · 24 · 56 · 373 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1987,-5469] |
[a1,a2,a3,a4,a6] |
j |
55524368375/33228368 |
j-invariant |
L |
4.325918061788 |
L(r)(E,1)/r! |
Ω |
0.54073975883377 |
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 |
3034a1 |
Quadratic twists by: 5 |