Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610s |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-10183332656250 = -1 · 2 · 36 · 57 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7582,-300074] |
[a1,a2,a3,a4,a6] |
Generators |
[157:-1631:1] |
Generators of the group modulo torsion |
j |
-285284281827649/60256406250 |
j-invariant |
L |
5.3051124538101 |
L(r)(E,1)/r! |
Ω |
0.25294631353803 |
Real period |
R |
0.74904552803934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998380783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bv1 |
Quadratic twists by: 13 |