Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292l |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2191536 = -1 · 24 · 34 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 3 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,912] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
-44001181696/136971 |
j-invariant |
L |
6.3836545564888 |
L(r)(E,1)/r! |
Ω |
2.6112431612644 |
Real period |
R |
0.20372335327942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168br1 60876p1 |
Quadratic twists by: -4 -3 |