Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bk |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-609989326171875 = -1 · 37 · 510 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 2 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19805,-1595928] |
[a1,a2,a3,a4,a6] |
j |
-4225/3 |
j-invariant |
L |
0.78048295082593 |
L(r)(E,1)/r! |
Ω |
0.1951207376954 |
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 |
12675c1 38025ch1 38025bg1 |
Quadratic twists by: -3 5 13 |