Atkin-Lehner |
2+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120x |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-14734131200000 = -1 · 219 · 55 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -2 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8865,373537] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:575:1] [-71:800:1] |
Generators of the group modulo torsion |
j |
-293946977449/56206250 |
j-invariant |
L |
9.4918665382282 |
L(r)(E,1)/r! |
Ω |
0.67348744186808 |
Real period |
R |
0.35234014555842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cs1 3910a1 |
Quadratic twists by: -4 8 |