Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cl |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-393750000 = -1 · 24 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,963] |
[a1,a2,a3,a4,a6] |
j |
1280/63 |
j-invariant |
L |
2.5631328069386 |
L(r)(E,1)/r! |
Ω |
1.2815664034693 |
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 |
2100g1 33600fh1 25200ew1 8400bm1 |
Quadratic twists by: -4 8 -3 5 |