Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762g |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-967752698029462926 = -1 · 2 · 34 · 79 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-778831,268429435] |
[a1,a2,a3,a4,a6] |
Generators |
[169:11818:1] |
Generators of the group modulo torsion |
j |
-1294708239486271/23981814018 |
j-invariant |
L |
2.1034236409219 |
L(r)(E,1)/r! |
Ω |
0.27874769871422 |
Real period |
R |
1.2576627840782 |
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 |
54096ct2 20286ca2 6762r2 |
Quadratic twists by: -4 -3 -7 |