Atkin-Lehner |
3+ 5- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123225h |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
148800 |
Modular degree for the optimal curve |
Δ |
179061328125 = 32 · 58 · 312 · 53 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 3 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1458,7193] |
[a1,a2,a3,a4,a6] |
j |
878080000/458397 |
j-invariant |
L |
3.5640629934422 |
L(r)(E,1)/r! |
Ω |
0.89101554928097 |
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 |
123225m1 |
Quadratic twists by: 5 |