Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cz |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
8553741134400 = 26 · 35 · 52 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5520,-72000] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:240:1] |
Generators of the group modulo torsion |
j |
18601409884135681/8553741134400 |
j-invariant |
L |
11.881945626769 |
L(r)(E,1)/r! |
Ω |
0.57871143861931 |
Real period |
R |
0.2281303068593 |
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 |
117810bg1 |
Quadratic twists by: -3 |