Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300d |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
191833741091250000 = 24 · 310 · 57 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158133,-11853738] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1825:1] |
Generators of the group modulo torsion |
j |
1749258449453056/767334964365 |
j-invariant |
L |
5.7951113985429 |
L(r)(E,1)/r! |
Ω |
0.24925248546701 |
Real period |
R |
3.8749940586927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460n1 |
Quadratic twists by: 5 |