Atkin-Lehner |
2+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
25232d |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-2769060608 = -1 · 28 · 194 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 -3 -5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252,-2096] |
[a1,a2,a3,a4,a6] |
Generators |
[16:76:1] |
Generators of the group modulo torsion |
j |
6885902000/10816643 |
j-invariant |
L |
2.3881263766953 |
L(r)(E,1)/r! |
Ω |
0.75742410039948 |
Real period |
R |
0.39411974999142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12616a1 100928p1 |
Quadratic twists by: -4 8 |