Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816y |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-31491504 = -1 · 24 · 34 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,630] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
-17903239168/1968219 |
j-invariant |
L |
7.1651056803572 |
L(r)(E,1)/r! |
Ω |
2.0277375815982 |
Real period |
R |
1.7667734092865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6204a1 99264bl1 74448x1 |
Quadratic twists by: -4 8 -3 |