Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700bc |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
26814519956250000 = 24 · 315 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74958,-595287] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:675:1] |
Generators of the group modulo torsion |
j |
7452525310720/4290323193 |
j-invariant |
L |
5.4241192178752 |
L(r)(E,1)/r! |
Ω |
0.31402390050524 |
Real period |
R |
1.1515300186973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955239 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89700e1 |
Quadratic twists by: 5 |