Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226t |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
131160752352 = 25 · 32 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2794,-55273] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:63:1] |
Generators of the group modulo torsion |
j |
418435297/22752 |
j-invariant |
L |
5.806250177271 |
L(r)(E,1)/r! |
Ω |
0.65888627351944 |
Real period |
R |
0.2937406353025 |
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 |
69678g1 23226x1 |
Quadratic twists by: -3 -7 |