Atkin-Lehner |
2+ 3- 11+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25806c |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38080 |
Modular degree for the optimal curve |
Δ |
-178058922624 = -1 · 27 · 35 · 114 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,203,20288] |
[a1,a2,a3,a4,a6] |
Generators |
[64:512:1] |
Generators of the group modulo torsion |
j |
931716020663/178058922624 |
j-invariant |
L |
5.6742337686272 |
L(r)(E,1)/r! |
Ω |
0.78282747022136 |
Real period |
R |
0.72483835640345 |
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 |
77418bb1 |
Quadratic twists by: -3 |