Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272o |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
572832 |
Modular degree for the optimal curve |
Δ |
-16603213423244032 = -1 · 28 · 138 · 433 |
Discriminant |
Eigenvalues |
2- 0 2 2 5 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70304,9482252] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:49622:1] |
Generators of the group modulo torsion |
j |
-184025088/79507 |
j-invariant |
L |
8.9357605763918 |
L(r)(E,1)/r! |
Ω |
0.36583370653633 |
Real period |
R |
4.0709573929783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29068a1 116272p1 |
Quadratic twists by: -4 13 |