Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dj |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-25200000000 = -1 · 210 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-7537] |
[a1,a2,a3,a4,a6] |
j |
1280/63 |
j-invariant |
L |
3.4289194760834 |
L(r)(E,1)/r! |
Ω |
0.57148657934756 |
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 |
33600fh1 2100g1 100800hm1 33600d1 |
Quadratic twists by: -4 8 -3 5 |