Atkin-Lehner |
7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227b |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7896 |
Modular degree for the optimal curve |
Δ |
-2216123 = -1 · 74 · 13 · 71 |
Discriminant |
Eigenvalues |
0 -1 -4 7+ 3 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,237] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-4:1] |
Generators of the group modulo torsion |
j |
-12845056/923 |
j-invariant |
L |
2.581149359417 |
L(r)(E,1)/r! |
Ω |
2.5530129363076 |
Real period |
R |
0.33700695659212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227g1 |
Quadratic twists by: -7 |