Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322o |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2845440 |
Modular degree for the optimal curve |
Δ |
-1.2422619289645E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28721976,-61638420615] |
[a1,a2,a3,a4,a6] |
Generators |
[8389:532349:1] |
Generators of the group modulo torsion |
j |
-3212327676841366369/152288236422144 |
j-invariant |
L |
5.1263628939086 |
L(r)(E,1)/r! |
Ω |
0.032517424149986 |
Real period |
R |
1.9706215313456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69966h1 23322e1 |
Quadratic twists by: -3 13 |