Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925t |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14200597132734375 = 310 · 57 · 11 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88317,-8295534] |
[a1,a2,a3,a4,a6] |
Generators |
[-1690:8437:8] |
Generators of the group modulo torsion |
j |
6688239997321/1246691655 |
j-invariant |
L |
7.7728012013466 |
L(r)(E,1)/r! |
Ω |
0.28050986299211 |
Real period |
R |
6.9273867222105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975m4 11385j3 |
Quadratic twists by: -3 5 |