Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782p |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
115 |
Product of Tamagawa factors cp |
deg |
430560 |
Modular degree for the optimal curve |
Δ |
-36277969747968 = -1 · 223 · 35 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8241,33273] |
[a1,a2,a3,a4,a6] |
Generators |
[6:285:1] |
Generators of the group modulo torsion |
j |
45212311666727/26499612672 |
j-invariant |
L |
7.582559883885 |
L(r)(E,1)/r! |
Ω |
0.39463027806635 |
Real period |
R |
0.16708120777857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106782g1 |
Quadratic twists by: 37 |