Atkin-Lehner |
2+ 3+ 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190d |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-17414640 = -1 · 24 · 32 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
5822285399/17414640 |
j-invariant |
L |
4.7330560907974 |
L(r)(E,1)/r! |
Ω |
1.5419920119711 |
Real period |
R |
1.5347213390385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bi1 |
Quadratic twists by: -3 |