Atkin-Lehner |
2- 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526y |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3711787970688 = 27 · 36 · 72 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17258474,27600667561] |
[a1,a2,a3,a4,a6] |
Generators |
[2405:-1733:1] |
Generators of the group modulo torsion |
j |
779836104452703234804057/5091615872 |
j-invariant |
L |
11.162731539373 |
L(r)(E,1)/r! |
Ω |
0.38505134185262 |
Real period |
R |
1.035365780784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614b2 |
Quadratic twists by: -3 |