Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402i |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39648 |
Modular degree for the optimal curve |
Δ |
-901417088 = -1 · 27 · 114 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,240,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[9:49:1] |
Generators of the group modulo torsion |
j |
103742375/61568 |
j-invariant |
L |
2.8046465044042 |
L(r)(E,1)/r! |
Ω |
0.92129486237878 |
Real period |
R |
3.044244209573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998370498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402bg1 |
Quadratic twists by: -11 |