Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
120328c |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
1429662211328 = 28 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ -2 4 -3 2 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1173761,-489851933] |
[a1,a2,a3,a4,a6] |
j |
144731488592896/1157 |
j-invariant |
L |
2.320731416176 |
L(r)(E,1)/r! |
Ω |
0.14504561547408 |
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 |
9256c1 |
Quadratic twists by: 13 |