Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453h |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-7275183993497256543 = -1 · 38 · 710 · 174 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267149,140121722] |
[a1,a2,a3,a4,a6] |
Generators |
[4416:289513:1] |
Generators of the group modulo torsion |
j |
-17922402738055873/61838043617007 |
j-invariant |
L |
1.9489003663804 |
L(r)(E,1)/r! |
Ω |
0.20620765695389 |
Real period |
R |
2.3627885135705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779h1 |
Quadratic twists by: -7 |