Atkin-Lehner |
5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22525b |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
14078125 = 56 · 17 · 53 |
Discriminant |
Eigenvalues |
2 1 5+ -2 0 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-108,-431] |
[a1,a2,a3,a4,a6] |
Generators |
[-45126:4285:5832] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
11.623726866045 |
L(r)(E,1)/r! |
Ω |
1.4893650076136 |
Real period |
R |
7.8044850030883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901f1 |
Quadratic twists by: 5 |