Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cb |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
131250000 = 24 · 3 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-262] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:100:27] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
4.8078550649451 |
L(r)(E,1)/r! |
Ω |
1.4801344172435 |
Real period |
R |
3.2482557049777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2100e1 33600ei1 25200du1 1680o1 |
Quadratic twists by: -4 8 -3 5 |