Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600h |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
437234636800 = 211 · 52 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 5 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8035,-275390] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:26:1] |
Generators of the group modulo torsion |
j |
1120498796610/8539739 |
j-invariant |
L |
3.692421021928 |
L(r)(E,1)/r! |
Ω |
0.5044900959909 |
Real period |
R |
0.73191147058369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000382979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59800e1 119600j1 |
Quadratic twists by: -4 5 |