Atkin-Lehner |
2- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7268c |
Isogeny class |
Conductor |
7268 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
66769313536 = 28 · 232 · 793 |
Discriminant |
Eigenvalues |
2- 1 3 -1 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1404,15524] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1978:1] |
Generators of the group modulo torsion |
j |
1196449465552/260817631 |
j-invariant |
L |
5.479341596077 |
L(r)(E,1)/r! |
Ω |
1.0386413612365 |
Real period |
R |
2.6377447502928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29072j1 116288h1 65412f1 |
Quadratic twists by: -4 8 -3 |