Atkin-Lehner |
3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18249j |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6624387 = -1 · 32 · 7 · 113 · 79 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11+ 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,23,124] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] |
Generators of the group modulo torsion |
j |
1287913472/6624387 |
j-invariant |
L |
5.4811084719591 |
L(r)(E,1)/r! |
Ω |
1.7075501917661 |
Real period |
R |
1.6049626237605 |
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 |
54747l1 127743f1 |
Quadratic twists by: -3 -7 |