Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bf |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
308524702500000000 = 28 · 32 · 510 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2314508,1354267488] |
[a1,a2,a3,a4,a6] |
Generators |
[512456:3293325:512] |
Generators of the group modulo torsion |
j |
342799332162880336/77131175625 |
j-invariant |
L |
8.5234036378024 |
L(r)(E,1)/r! |
Ω |
0.29819503011849 |
Real period |
R |
7.145829724514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320r2 |
Quadratic twists by: 5 |