Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dx |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-58032128 = -1 · 215 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,385] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
-125000/1771 |
j-invariant |
L |
6.2369246553799 |
L(r)(E,1)/r! |
Ω |
1.6761479735662 |
Real period |
R |
1.8604934468186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dg1 56672p1 |
Quadratic twists by: -4 8 |