Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400bd |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3543750000 = -1 · 24 · 34 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-8037] |
[a1,a2,a3,a4,a6] |
Generators |
[33:75:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
5.0872171621214 |
L(r)(E,1)/r! |
Ω |
0.46034597568538 |
Real period |
R |
0.92090468017874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4200i1 33600fo1 25200cc1 8400h1 |
Quadratic twists by: -4 8 -3 5 |