Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dx |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3047424000 = 218 · 3 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,468] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1110:1] |
Generators of the group modulo torsion |
j |
10793861/5952 |
j-invariant |
L |
8.0508898288763 |
L(r)(E,1)/r! |
Ω |
1.2359409881197 |
Real period |
R |
3.2569879574609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650bg1 111600gm1 37200ci1 |
Quadratic twists by: -4 -3 5 |