Atkin-Lehner |
2- 3+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7998c |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
13820544 = 27 · 34 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -5 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72,-183] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] [-5:11:1] |
Generators of the group modulo torsion |
j |
41314084993/13820544 |
j-invariant |
L |
5.6281387317652 |
L(r)(E,1)/r! |
Ω |
1.6829680658324 |
Real period |
R |
0.23886960042407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984bf1 23994f1 |
Quadratic twists by: -4 -3 |