Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320d |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-45679920 = -1 · 24 · 3 · 5 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,-330] |
[a1,a2,a3,a4,a6] |
j |
103737344/2854995 |
j-invariant |
L |
1.9520089780186 |
L(r)(E,1)/r! |
Ω |
0.97600448900963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160y1 102960ba1 |
Quadratic twists by: -4 -3 |