Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486bd |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-3459620204292096 = -1 · 211 · 36 · 135 · 792 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24629,3203277] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:2076:1] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
5.9246856750656 |
L(r)(E,1)/r! |
Ω |
0.39595331271792 |
Real period |
R |
0.13602810516856 |
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 |
2054c1 |
Quadratic twists by: -3 |