Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11130g |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
646485960960000 = 211 · 34 · 54 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-577293,-169063587] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:286:1] |
Generators of the group modulo torsion |
j |
21277165026033173434969/646485960960000 |
j-invariant |
L |
2.7224071638297 |
L(r)(E,1)/r! |
Ω |
0.17320131125576 |
Real period |
R |
2.6196945278027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040by2 33390bu2 55650ct2 77910bi2 |
Quadratic twists by: -4 -3 5 -7 |