Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296p |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-7098624 = -1 · 28 · 33 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196,1132] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
-3269383504/27729 |
j-invariant |
L |
4.1063505475342 |
L(r)(E,1)/r! |
Ω |
2.3704976792978 |
Real period |
R |
1.7322735995087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12324c1 |
Quadratic twists by: -4 |