Atkin-Lehner |
2- 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850h |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-8112394531250 = -1 · 2 · 59 · 373 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4188,-173969] |
[a1,a2,a3,a4,a6] |
j |
-519912412921/519193250 |
j-invariant |
L |
1.1409525599393 |
L(r)(E,1)/r! |
Ω |
0.28523814815478 |
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 |
15170g1 |
Quadratic twists by: 5 |