Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120w |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
80306640 = 24 · 310 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282,-1771] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:7:1] |
Generators of the group modulo torsion |
j |
212629504/6885 |
j-invariant |
L |
4.2812682006784 |
L(r)(E,1)/r! |
Ω |
1.1673440638489 |
Real period |
R |
1.8337644972307 |
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 |
12240t1 48960bw1 2040a1 30600m1 |
Quadratic twists by: -4 8 -3 5 |