Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400j |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70080 |
Modular degree for the optimal curve |
Δ |
-26875000000 = -1 · 26 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -3 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28958,-1906412] |
[a1,a2,a3,a4,a6] |
j |
-4296990400/43 |
j-invariant |
L |
1.4639151136704 |
L(r)(E,1)/r! |
Ω |
0.18298938920945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400y1 68800k1 34400bl1 |
Quadratic twists by: -4 8 5 |