Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gb |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.1805540119347E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-678305,-378389025] |
[a1,a2,a3,a4,a6] |
Generators |
[1255:27360:1] |
Generators of the group modulo torsion |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
9.2172850775434 |
L(r)(E,1)/r! |
Ω |
0.079506176828544 |
Real period |
R |
0.16101623010915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bk1 31920t1 |
Quadratic twists by: -4 8 |