Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025f |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8266752 |
Modular degree for the optimal curve |
Δ |
2.7696943621544E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3593067,-677934784] |
[a1,a2,a3,a4,a6] |
j |
9261/5 |
j-invariant |
L |
5.8406962711429 |
L(r)(E,1)/r! |
Ω |
0.11681391652776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119025h1 23805b1 119025g1 |
Quadratic twists by: -3 5 -23 |