Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bk |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2.154750073897E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1303587,-614867166] |
[a1,a2,a3,a4,a6] |
j |
-3038732943445107/267267200000 |
j-invariant |
L |
2.8117102110426 |
L(r)(E,1)/r! |
Ω |
0.070292755276064 |
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 |
1530b1 48960do1 12240ba1 61200de1 |
Quadratic twists by: -4 8 -3 5 |