Atkin-Lehner |
5- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675s |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1598400 |
Modular degree for the optimal curve |
Δ |
8070028446076953125 = 58 · 75 · 113 · 314 |
Discriminant |
Eigenvalues |
0 2 5- 7- 11+ -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3342333,-2346832307] |
[a1,a2,a3,a4,a6] |
j |
10570924185962414080/20659272821957 |
j-invariant |
L |
2.2334081667383 |
L(r)(E,1)/r! |
Ω |
0.11167040816224 |
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 |
59675c1 |
Quadratic twists by: 5 |