Atkin-Lehner |
2- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9424g |
Isogeny class |
Conductor |
9424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-863960956928 = -1 · 217 · 193 · 312 |
Discriminant |
Eigenvalues |
2- -3 -2 -3 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14971,706474] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1178:1] [-19:992:1] |
Generators of the group modulo torsion |
j |
-90597496156497/210927968 |
j-invariant |
L |
3.3250702772439 |
L(r)(E,1)/r! |
Ω |
0.89096033397816 |
Real period |
R |
0.15550029513279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1178b1 37696o1 84816v1 |
Quadratic twists by: -4 8 -3 |