Atkin-Lehner |
2+ 3+ 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086c |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2208960 |
Modular degree for the optimal curve |
Δ |
-1.9760474783041E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 2 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1824367,-1165657055] |
[a1,a2,a3,a4,a6] |
j |
-671522715147080981241721/197604747830410853868 |
j-invariant |
L |
0.63980815908654 |
L(r)(E,1)/r! |
Ω |
0.063980815908825 |
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 |
102258ba1 |
Quadratic twists by: -3 |