Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42400b |
Isogeny class |
Conductor |
42400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-3392000000 = -1 · 212 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 0 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,367,863] |
[a1,a2,a3,a4,a6] |
j |
85184/53 |
j-invariant |
L |
3.4919849518046 |
L(r)(E,1)/r! |
Ω |
0.87299623793165 |
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 |
42400k1 84800e1 1696e1 |
Quadratic twists by: -4 8 5 |