Atkin-Lehner |
3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025t |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-22792640625 = -1 · 37 · 56 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 3 -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,274,-7027] |
[a1,a2,a3,a4,a6] |
j |
146363183/1458729 |
j-invariant |
L |
4.1575327231375 |
L(r)(E,1)/r! |
Ω |
0.59393324623485 |
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 |
2001a1 |
Quadratic twists by: 5 |