Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bb |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
6333465600 = 210 · 33 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-479,-1294] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:58:1] |
Generators of the group modulo torsion |
j |
12117869279209/6333465600 |
j-invariant |
L |
4.5552074339864 |
L(r)(E,1)/r! |
Ω |
1.0814589726285 |
Real period |
R |
0.70201575668888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ew1 |
Quadratic twists by: -3 |