Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800d |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92236816000000 = 210 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23275,-1286250] |
[a1,a2,a3,a4,a6] |
j |
740772/49 |
j-invariant |
L |
0.7762611532176 |
L(r)(E,1)/r! |
Ω |
0.3881305766088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19600h2 78400u2 88200gt2 392a2 |
Quadratic twists by: -4 8 -3 5 |