Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660l |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-22356943423200000 = -1 · 28 · 311 · 55 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126048,18666628] |
[a1,a2,a3,a4,a6] |
j |
-1186763268161536/119796721875 |
j-invariant |
L |
2.2305736984288 |
L(r)(E,1)/r! |
Ω |
0.37176229047751 |
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 |
26220i1 |
Quadratic twists by: -3 |