Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725f |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
81687480448578125 = 56 · 118 · 293 |
Discriminant |
Eigenvalues |
2 -2 5+ -1 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1586108,-769265931] |
[a1,a2,a3,a4,a6] |
j |
131753070592/24389 |
j-invariant |
L |
0.53812257761894 |
L(r)(E,1)/r! |
Ω |
0.13453062724772 |
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 |
3509b1 87725u1 |
Quadratic twists by: 5 -11 |