Atkin-Lehner |
7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253b |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-13010149691 = -1 · 72 · 11 · 176 |
Discriminant |
Eigenvalues |
0 -1 -3 7+ 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25817,1605285] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1011:1] [65:444:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
4.2901580677823 |
L(r)(E,1)/r! |
Ω |
1.1269976126815 |
Real period |
R |
0.95167860595018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77b3 |
Quadratic twists by: 17 |