Atkin-Lehner |
2+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944f |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1657048064 = -1 · 210 · 7 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 -7 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,1984] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-92:1] [-10:38:1] |
Generators of the group modulo torsion |
j |
-19307236/1618211 |
j-invariant |
L |
7.2771389437432 |
L(r)(E,1)/r! |
Ω |
1.2329895046953 |
Real period |
R |
0.4918356912225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24472a1 |
Quadratic twists by: -4 |