Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880a |
Isogeny class |
Conductor |
22880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
1959137280077120 = 26 · 5 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185526,-30745916] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:118:1] |
Generators of the group modulo torsion |
j |
11034697254917922496/30611520001205 |
j-invariant |
L |
2.047624039232 |
L(r)(E,1)/r! |
Ω |
0.23007560810169 |
Real period |
R |
4.4498937895385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22880f1 45760y2 114400x1 |
Quadratic twists by: -4 8 5 |