Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400n |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29052100000000 = 28 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18175,-906750] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:150:1] |
Generators of the group modulo torsion |
j |
165991931856/7263025 |
j-invariant |
L |
4.4658239217797 |
L(r)(E,1)/r! |
Ω |
0.412291207582 |
Real period |
R |
2.7079306080591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30800h2 123200a2 3080b2 107800by2 |
Quadratic twists by: -4 8 5 -7 |