Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144ce |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3983873371414272 = -1 · 28 · 36 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36897,-1334270] |
[a1,a2,a3,a4,a6] |
Generators |
[485:11430:1] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
8.7518475552317 |
L(r)(E,1)/r! |
Ω |
0.24760494340515 |
Real period |
R |
4.4182516275941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016e1 11592s1 |
Quadratic twists by: -3 -7 |