Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6762c |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-527464562688 = -1 · 215 · 33 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,850,33972] |
[a1,a2,a3,a4,a6] |
j |
1383521234375/10764582912 |
j-invariant |
L |
0.6757482584517 |
L(r)(E,1)/r! |
Ω |
0.6757482584517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096dd2 20286cn2 6762k2 |
Quadratic twists by: -4 -3 -7 |