Atkin-Lehner |
2+ 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400l |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
223462800 = 24 · 35 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1548,-22923] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1:1] [46:33:1] |
Generators of the group modulo torsion |
j |
1026259313920/558657 |
j-invariant |
L |
9.9972084599814 |
L(r)(E,1)/r! |
Ω |
0.76111035126755 |
Real period |
R |
3.2837578819943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400dj1 |
Quadratic twists by: 5 |