Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bt |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1874584905187328 = -1 · 221 · 197 |
Discriminant |
Eigenvalues |
2- -1 0 1 -6 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358593,82797409] |
[a1,a2,a3,a4,a6] |
Generators |
[336:361:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
3.9861818939337 |
L(r)(E,1)/r! |
Ω |
0.46005157076529 |
Real period |
R |
1.0830801771046 |
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 |
23104l1 5776l1 1216o1 |
Quadratic twists by: -4 8 -19 |