Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10400f |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6760000000000 = -1 · 212 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10700,-444000] |
[a1,a2,a3,a4,a6] |
j |
-2116874304/105625 |
j-invariant |
L |
1.8722016778537 |
L(r)(E,1)/r! |
Ω |
0.23402520973171 |
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 |
10400v2 20800b1 93600ec2 2080b2 |
Quadratic twists by: -4 8 -3 5 |