Atkin-Lehner |
2+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920f |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
2274751250000 = 24 · 57 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26491,1649184] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:142:1] |
Generators of the group modulo torsion |
j |
128503566517356544/142171953125 |
j-invariant |
L |
2.8665927877832 |
L(r)(E,1)/r! |
Ω |
0.81681603873271 |
Real period |
R |
3.5094717802871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999826152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53960b1 |
Quadratic twists by: -4 |