Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560ba |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2701819261635200000 = 210 · 55 · 712 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3158360,-2160036992] |
[a1,a2,a3,a4,a6] |
Generators |
[2536:78400:1] |
Generators of the group modulo torsion |
j |
28921482121849636/22426840625 |
j-invariant |
L |
3.6934330920319 |
L(r)(E,1)/r! |
Ω |
0.1132542091035 |
Real period |
R |
3.2611883346004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080i1 |
Quadratic twists by: -7 |