Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400u |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1509200000000 = -1 · 210 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,83750] |
[a1,a2,a3,a4,a6] |
j |
-6570180/3773 |
j-invariant |
L |
4.7225923652929 |
L(r)(E,1)/r! |
Ω |
0.78709872754882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800v1 123200cs1 15400h1 107800co1 |
Quadratic twists by: -4 8 5 -7 |