Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400b |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2049740000000000 = 211 · 510 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32675,650750] |
[a1,a2,a3,a4,a6] |
Generators |
[9730:335625:8] |
Generators of the group modulo torsion |
j |
120564797922/64054375 |
j-invariant |
L |
4.3428095613375 |
L(r)(E,1)/r! |
Ω |
0.40754680620147 |
Real period |
R |
5.3279887061495 |
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 |
30800l3 123200l3 3080e3 107800i3 |
Quadratic twists by: -4 8 5 -7 |