Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800i |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
807072140000000000 = 211 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-294408,-43631188] |
[a1,a2,a3,a4,a6] |
j |
2185454/625 |
j-invariant |
L |
3.7695508624457 |
L(r)(E,1)/r! |
Ω |
0.20941949235809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19600z2 78400cy2 88200gx2 1960k2 |
Quadratic twists by: -4 8 -3 5 |