Atkin-Lehner |
5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124025b |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-1510560239546875 = -1 · 56 · 119 · 41 |
Discriminant |
Eigenvalues |
-1 -2 5+ 3 11+ -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9012,1841467] |
[a1,a2,a3,a4,a6] |
j |
2197/41 |
j-invariant |
L |
0.71189515987736 |
L(r)(E,1)/r! |
Ω |
0.35594821438436 |
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 |
4961b1 124025a1 |
Quadratic twists by: 5 -11 |