Atkin-Lehner |
11+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109681c |
Isogeny class |
Conductor |
109681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
100764048482740357 = 115 · 139 · 59 |
Discriminant |
Eigenvalues |
-2 1 0 -3 11+ 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-155198,17852332] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:6168:1] |
Generators of the group modulo torsion |
j |
85649485312000/20875913773 |
j-invariant |
L |
2.3976751716003 |
L(r)(E,1)/r! |
Ω |
0.31562712264903 |
Real period |
R |
3.7982716860086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000187732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437c1 |
Quadratic twists by: 13 |