Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400o |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
308915776000 = 29 · 53 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3715,-82950] |
[a1,a2,a3,a4,a6] |
j |
88597239912/4826809 |
j-invariant |
L |
0.61359405626344 |
L(r)(E,1)/r! |
Ω |
0.61359405626344 |
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 |
10400n2 20800dx2 93600es2 10400bg2 |
Quadratic twists by: -4 8 -3 5 |