Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ce |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-188496000 = -1 · 27 · 32 · 53 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 7 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,120,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-67:1] |
Generators of the group modulo torsion |
j |
191003460479/188496000 |
j-invariant |
L |
8.7535565961539 |
L(r)(E,1)/r! |
Ω |
0.97728500722594 |
Real period |
R |
0.21326226500263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117810v1 |
Quadratic twists by: -3 |