Atkin-Lehner |
5- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885k |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1540371652845265625 = -1 · 56 · 76 · 117 · 43 |
Discriminant |
Eigenvalues |
1 1 5- 7- 11+ 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100623,-60972369] |
[a1,a2,a3,a4,a6] |
j |
-957681397954009/13092943015625 |
j-invariant |
L |
1.3745010596202 |
L(r)(E,1)/r! |
Ω |
0.11454179666221 |
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 |
2365a1 |
Quadratic twists by: -7 |