Atkin-Lehner |
2- 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190be |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
5808000 |
Modular degree for the optimal curve |
Δ |
-2.55317996187E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4139239,-6970659015] |
[a1,a2,a3,a4,a6] |
Generators |
[2326:-124625:1] |
Generators of the group modulo torsion |
j |
7843054187292648167696111/25531799618700000000000 |
j-invariant |
L |
8.652453352258 |
L(r)(E,1)/r! |
Ω |
0.060880387006404 |
Real period |
R |
1.6150247786377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114570t1 |
Quadratic twists by: -3 |