Atkin-Lehner |
2+ 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22330b |
Isogeny class |
Conductor |
22330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-42233867830000 = -1 · 24 · 54 · 73 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-213,312656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:527:1] [-25:562:1] |
Generators of the group modulo torsion |
j |
-1061520150601/42233867830000 |
j-invariant |
L |
4.6555922810612 |
L(r)(E,1)/r! |
Ω |
0.51301060864872 |
Real period |
R |
0.18906335311643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111650p1 |
Quadratic twists by: 5 |