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 |
Δ |
645047407812500 = 22 · 58 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70393,7078008] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:1860:1] [-256:3015:1] |
Generators of the group modulo torsion |
j |
38574762980512477321/645047407812500 |
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 |
111650p2 |
Quadratic twists by: 5 |