Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ci |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
182453380200000 = 26 · 33 · 55 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195410,33176808] |
[a1,a2,a3,a4,a6] |
Generators |
[226:780:1] |
Generators of the group modulo torsion |
j |
12893959887933721024/2850834065625 |
j-invariant |
L |
6.6273207360625 |
L(r)(E,1)/r! |
Ω |
0.55382772584175 |
Real period |
R |
0.26591986508241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680k1 87360f1 |
Quadratic twists by: -4 8 |