Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bh |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4864308160757760 = 236 · 32 · 5 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45440,-1609728] |
[a1,a2,a3,a4,a6] |
j |
2533309721804161/1187575234560 |
j-invariant |
L |
1.3688496070017 |
L(r)(E,1)/r! |
Ω |
0.34221240175108 |
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 |
4290bc1 102960dt1 |
Quadratic twists by: -4 -3 |