Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828r |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-1.4347086286311E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7796064,-8574305164] |
[a1,a2,a3,a4,a6] |
Generators |
[502095:67647097:27] |
Generators of the group modulo torsion |
j |
-11632923639808/318495051 |
j-invariant |
L |
3.7578331965653 |
L(r)(E,1)/r! |
Ω |
0.045102367061379 |
Real period |
R |
5.207366930875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24276c1 4284g1 |
Quadratic twists by: -3 17 |