Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bm |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
979661437920000 = 28 · 33 · 54 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84980,9443772] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1210:1] |
Generators of the group modulo torsion |
j |
265117891804153936/3826802491875 |
j-invariant |
L |
5.4519672405366 |
L(r)(E,1)/r! |
Ω |
0.49597786163113 |
Real period |
R |
2.7480900158256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420r2 |
Quadratic twists by: -4 |