Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400i |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
3.0611520001205E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4638158,3833963188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1832:78650:1] |
Generators of the group modulo torsion |
j |
11034697254917922496/30611520001205 |
j-invariant |
L |
4.1336763603394 |
L(r)(E,1)/r! |
Ω |
0.20949896486217 |
Real period |
R |
0.61660154913928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400x1 22880f1 |
Quadratic twists by: -4 5 |