Atkin-Lehner |
2- 3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190bg |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-54966318018750 = -1 · 2 · 34 · 55 · 192 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25016,1562046] |
[a1,a2,a3,a4,a6] |
j |
-1731324209354356609/54966318018750 |
j-invariant |
L |
5.0081370669194 |
L(r)(E,1)/r! |
Ω |
0.62601713336403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114570w1 |
Quadratic twists by: -3 |