Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800hn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-512096256000 = -1 · 214 · 36 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,-34400] |
[a1,a2,a3,a4,a6] |
j |
1024/343 |
j-invariant |
L |
2.6142676492052 |
L(r)(E,1)/r! |
Ω |
0.4357112960238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800oj1 12600cj1 11200bn1 100800gf1 |
Quadratic twists by: -4 8 -3 5 |