Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bz |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
381655296000000 = 214 · 32 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51216,4344084] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:2970:1] |
Generators of the group modulo torsion |
j |
3627347927618449/93177562500 |
j-invariant |
L |
8.4847504293614 |
L(r)(E,1)/r! |
Ω |
0.53370781681899 |
Real period |
R |
3.9744360845296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007446 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210t2 |
Quadratic twists by: -4 |