Atkin-Lehner |
3+ 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
75525d |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-40358671875 = -1 · 33 · 57 · 192 · 53 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 6 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,492,8543] |
[a1,a2,a3,a4,a6] |
j |
841232384/2582955 |
j-invariant |
L |
6.4752467520773 |
L(r)(E,1)/r! |
Ω |
0.80940584047328 |
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 |
15105d1 |
Quadratic twists by: 5 |