Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104ca |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-14645194571776 = -1 · 214 · 197 |
Discriminant |
Eigenvalues |
2- -2 1 3 5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30805,-2099469] |
[a1,a2,a3,a4,a6] |
Generators |
[54116:1537499:64] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
4.2840575968445 |
L(r)(E,1)/r! |
Ω |
0.18013386933088 |
Real period |
R |
5.9456580996648 |
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 |
23104s1 5776p1 1216k1 |
Quadratic twists by: -4 8 -19 |