Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350bu |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3088286250000 = 24 · 3 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313,67031] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:182:1] |
Generators of the group modulo torsion |
j |
4826809/1680 |
j-invariant |
L |
5.0304811599435 |
L(r)(E,1)/r! |
Ω |
0.73425488067007 |
Real period |
R |
1.7127843792311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58800iu1 22050bq1 1470h1 1050p1 |
Quadratic twists by: -4 -3 5 -7 |