Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715r |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-804289928556571875 = -1 · 39 · 55 · 118 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-36945,-43247176] |
[a1,a2,a3,a4,a6] |
Generators |
[546:9982:1] [1206:40837:1] |
Generators of the group modulo torsion |
j |
-3148084412416/454000696875 |
j-invariant |
L |
12.406476555906 |
L(r)(E,1)/r! |
Ω |
0.12568404880311 |
Real period |
R |
0.54839791064216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065m1 |
Quadratic twists by: -11 |