Atkin-Lehner |
2+ 3- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298t |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
662273381952 = 26 · 36 · 7 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4149,-94091] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:80:1] |
Generators of the group modulo torsion |
j |
10836408452689/908468288 |
j-invariant |
L |
1.8345681613772 |
L(r)(E,1)/r! |
Ω |
0.59802519654896 |
Real period |
R |
0.76692763039668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998569146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12922e1 |
Quadratic twists by: -3 |