Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130bu |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1662976 |
Modular degree for the optimal curve |
Δ |
645556827982500 = 22 · 34 · 54 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-350768,-79980694] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:187:1] |
Generators of the group modulo torsion |
j |
118276774301503/15997500 |
j-invariant |
L |
6.2442828957101 |
L(r)(E,1)/r! |
Ω |
0.19617706649736 |
Real period |
R |
1.989364442135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116130l1 |
Quadratic twists by: -7 |