Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224g |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-268386048 = -1 · 28 · 34 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132,576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:24:1] |
Generators of the group modulo torsion |
j |
986078000/1048383 |
j-invariant |
L |
5.2344893264458 |
L(r)(E,1)/r! |
Ω |
1.1541753561588 |
Real period |
R |
1.1338158665652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14448a1 57792v1 21672n1 50568b1 |
Quadratic twists by: -4 8 -3 -7 |