Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680cz |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-312263424000000 = -1 · 214 · 34 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10120,-939532] |
[a1,a2,a3,a4,a6] |
Generators |
[206:2400:1] |
Generators of the group modulo torsion |
j |
-27986475935881/76236187500 |
j-invariant |
L |
9.8093991337694 |
L(r)(E,1)/r! |
Ω |
0.22089911745613 |
Real period |
R |
0.92513942365218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210f2 |
Quadratic twists by: -4 |