Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624f |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3181801204736 = 210 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12299,517930] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:980:1] |
Generators of the group modulo torsion |
j |
1707831108/26411 |
j-invariant |
L |
4.7190274714034 |
L(r)(E,1)/r! |
Ω |
0.79914156576134 |
Real period |
R |
2.9525603932938 |
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 |
4312h3 34496ch4 77616bt4 1232b3 |
Quadratic twists by: -4 8 -3 -7 |