Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13320q |
Isogeny class |
Conductor |
13320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
172627200 = 28 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,-1404] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] |
Generators of the group modulo torsion |
j |
9483264/925 |
j-invariant |
L |
4.2516887265654 |
L(r)(E,1)/r! |
Ω |
1.2057698304768 |
Real period |
R |
0.88152991953783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26640q1 106560bo1 1480a1 66600p1 |
Quadratic twists by: -4 8 -3 5 |