Atkin-Lehner |
7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6293f |
Isogeny class |
Conductor |
6293 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
296331077 = 73 · 29 · 313 |
Discriminant |
Eigenvalues |
0 -2 0 7- -3 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1513,-23149] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:3:1] [47:108:1] |
Generators of the group modulo torsion |
j |
383290015744000/296331077 |
j-invariant |
L |
3.4308817891903 |
L(r)(E,1)/r! |
Ω |
0.76548389998234 |
Real period |
R |
0.49799752509073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688u2 56637i2 44051j2 |
Quadratic twists by: -4 -3 -7 |