Atkin-Lehner |
5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11305h |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
2172651425 = 52 · 72 · 173 · 192 |
Discriminant |
Eigenvalues |
1 2 5- 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-125377,17035224] |
[a1,a2,a3,a4,a6] |
Generators |
[5556:-1598:27] |
Generators of the group modulo torsion |
j |
217962984621942385561/2172651425 |
j-invariant |
L |
8.2410903408838 |
L(r)(E,1)/r! |
Ω |
1.0228880916204 |
Real period |
R |
4.0283440624616 |
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 |
101745v1 56525i1 79135o1 |
Quadratic twists by: -3 5 -7 |