Atkin-Lehner |
2+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38350h |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-958750000 = -1 · 24 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,99,1448] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-54:1] |
Generators of the group modulo torsion |
j |
6967871/61360 |
j-invariant |
L |
2.8965295566976 |
L(r)(E,1)/r! |
Ω |
1.1474363941831 |
Real period |
R |
0.31554358605187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670g1 |
Quadratic twists by: 5 |