Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cs |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2.775115912842E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18001088,14890401792] |
[a1,a2,a3,a4,a6] |
j |
41285728533151645510969/17760741842188800000 |
j-invariant |
L |
5.2883745444196 |
L(r)(E,1)/r! |
Ω |
0.088139575740327 |
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 |
109200da1 40950bn1 2730c1 95550hk1 |
Quadratic twists by: -4 -3 5 -7 |