Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bc |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-546398797824 = -1 · 219 · 33 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- -7 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7683,261634] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:704:1] [47:-66:1] |
Generators of the group modulo torsion |
j |
-453515880987/4940672 |
j-invariant |
L |
8.6961945434658 |
L(r)(E,1)/r! |
Ω |
0.92747857606562 |
Real period |
R |
0.39067364860134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5742a1 45936w1 |
Quadratic twists by: -4 -3 |