Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550be |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-30642740437500 = -1 · 22 · 310 · 56 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,274,266348] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:517:1] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
5.2256179695045 |
L(r)(E,1)/r! |
Ω |
0.52086720313061 |
Real period |
R |
0.50162670427324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622d1 |
Quadratic twists by: 5 |