Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434h |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-61093906236 = -1 · 22 · 39 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,11996] |
[a1,a2,a3,a4,a6] |
Generators |
[25:136:1] |
Generators of the group modulo torsion |
j |
-3267/212 |
j-invariant |
L |
5.7761483484585 |
L(r)(E,1)/r! |
Ω |
0.91572161296198 |
Real period |
R |
0.52564632024953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434bd1 115434bi1 |
Quadratic twists by: -3 -11 |