Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736i |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-303485616 = -1 · 24 · 38 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114,-695] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] [12:49:1] |
Generators of the group modulo torsion |
j |
14047232/26019 |
j-invariant |
L |
7.437835813192 |
L(r)(E,1)/r! |
Ω |
0.90275692802718 |
Real period |
R |
2.0597559493247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472l1 9912l1 |
Quadratic twists by: -4 -3 |