Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472u |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-18461632 = -1 · 26 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[16:56:1] |
Generators of the group modulo torsion |
j |
-1000000/841 |
j-invariant |
L |
2.8940240307697 |
L(r)(E,1)/r! |
Ω |
0.83411064827546 |
Real period |
R |
1.7347962388202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45472bj1 90944ba2 45472t1 |
Quadratic twists by: -4 8 -7 |