Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400b |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2371600000000 = 210 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25675,1581750] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1650:1] |
Generators of the group modulo torsion |
j |
116986321764/148225 |
j-invariant |
L |
4.3428095613375 |
L(r)(E,1)/r! |
Ω |
0.81509361240294 |
Real period |
R |
2.6639943530747 |
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 |
30800l2 123200l2 3080e2 107800i2 |
Quadratic twists by: -4 8 5 -7 |