Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925y |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1607835095019140625 = 312 · 58 · 114 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1762317,-897970784] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:1666:1] [-6138:14569:8] |
Generators of the group modulo torsion |
j |
53140836723628681/141154247025 |
j-invariant |
L |
11.649295855258 |
L(r)(E,1)/r! |
Ω |
0.13105327165698 |
Real period |
R |
11.111221898516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18975a2 11385g2 |
Quadratic twists by: -3 5 |