Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680k |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
60 |
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] |
j |
12893959887933721024/2850834065625 |
j-invariant |
L |
3.4061180398493 |
L(r)(E,1)/r! |
Ω |
0.22707453598544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680ci1 87360cn1 |
Quadratic twists by: -4 8 |