Atkin-Lehner |
7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
45227l |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
170688 |
Modular degree for the optimal curve |
Δ |
-446919304752739 = -1 · 79 · 133 · 712 |
Discriminant |
Eigenvalues |
2 0 -1 7- 0 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3773,1021025] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:24349:8] |
Generators of the group modulo torsion |
j |
-147197952/11075077 |
j-invariant |
L |
10.241942789001 |
L(r)(E,1)/r! |
Ω |
0.43545667506425 |
Real period |
R |
1.9600003428359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227e1 |
Quadratic twists by: -7 |