Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840ba |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
3709188450000 = 24 · 36 · 55 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8418,-282467] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:121:1] |
Generators of the group modulo torsion |
j |
5655916189696/318003125 |
j-invariant |
L |
4.9441232742433 |
L(r)(E,1)/r! |
Ω |
0.5001698812826 |
Real period |
R |
2.471222015898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999696301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760d1 |
Quadratic twists by: -3 |