Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cf |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2.7972105767424E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51246013,140950328531] |
[a1,a2,a3,a4,a6] |
Generators |
[2711:146820:1] |
Generators of the group modulo torsion |
j |
7620332490460668835709/14321718152921088 |
j-invariant |
L |
6.5393386011464 |
L(r)(E,1)/r! |
Ω |
0.11840580775022 |
Real period |
R |
0.3835291062316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200gy1 40950cr1 13650bj1 95550km1 |
Quadratic twists by: -4 -3 5 -7 |