Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
39816c |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
99893549385310464 = 28 · 312 · 76 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327351,-70466870] |
[a1,a2,a3,a4,a6] |
Generators |
[-16088858:-30434535:54872] |
Generators of the group modulo torsion |
j |
20787259342473808/535266361161 |
j-invariant |
L |
4.0602085579345 |
L(r)(E,1)/r! |
Ω |
0.19990714987286 |
Real period |
R |
10.155235969587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79632h2 13272f2 |
Quadratic twists by: -4 -3 |