Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990br |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-12874256640 = -1 · 28 · 39 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1082,-14471] |
[a1,a2,a3,a4,a6] |
Generators |
[73:503:1] |
Generators of the group modulo torsion |
j |
-7111117467/654080 |
j-invariant |
L |
10.431401985228 |
L(r)(E,1)/r! |
Ω |
0.41407193698161 |
Real period |
R |
1.5745153579576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990e1 |
Quadratic twists by: -3 |