Atkin-Lehner |
2+ 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770n |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-4375078502400 = -1 · 224 · 32 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4067,-12232] |
[a1,a2,a3,a4,a6] |
j |
7442172354436919/4375078502400 |
j-invariant |
L |
3.6492319369711 |
L(r)(E,1)/r! |
Ω |
0.45615399212127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bs1 |
Quadratic twists by: -3 |