Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762n |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1770610387295232 = -1 · 210 · 34 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16340,-1856662] |
[a1,a2,a3,a4,a6] |
Generators |
[88:470:1] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
4.0106684878562 |
L(r)(E,1)/r! |
Ω |
0.23940413376664 |
Real period |
R |
1.0470444956283 |
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 |
54096bv1 20286cr1 966a1 |
Quadratic twists by: -4 -3 -7 |