Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400i |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
154000000000 = 210 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,-56250] |
[a1,a2,a3,a4,a6] |
j |
1314036/77 |
j-invariant |
L |
0.65437551856063 |
L(r)(E,1)/r! |
Ω |
0.65437551856063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800w1 123200cv1 15400w1 107800z1 |
Quadratic twists by: -4 8 5 -7 |