Atkin-Lehner |
3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24453l |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
6435271557 = 38 · 11 · 13 · 193 |
Discriminant |
Eigenvalues |
-2 3- -4 3 11- 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-867,9036] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-86:1] |
Generators of the group modulo torsion |
j |
98867482624/8827533 |
j-invariant |
L |
2.1141041313395 |
L(r)(E,1)/r! |
Ω |
1.3030844226893 |
Real period |
R |
0.2703974373582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151e1 |
Quadratic twists by: -3 |