Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782g |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
15930720 |
Modular degree for the optimal curve |
Δ |
-9.3079345047265E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11281900,1651531538] |
[a1,a2,a3,a4,a6] |
Generators |
[41755092:33706301629:64] |
Generators of the group modulo torsion |
j |
45212311666727/26499612672 |
j-invariant |
L |
4.958058481617 |
L(r)(E,1)/r! |
Ω |
0.064876818074139 |
Real period |
R |
15.284530315413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106782p1 |
Quadratic twists by: 37 |