Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954i |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-51656377338 = -1 · 2 · 32 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,222,10953] |
[a1,a2,a3,a4,a6] |
Generators |
[164462:23499007:8] |
Generators of the group modulo torsion |
j |
1209651761375/51656377338 |
j-invariant |
L |
5.4099474498034 |
L(r)(E,1)/r! |
Ω |
0.85168751363971 |
Real period |
R |
6.3520333023128 |
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 |
55632ba2 20862g2 |
Quadratic twists by: -4 -3 |