Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782v |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
233453410146 = 2 · 310 · 112 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-174317,27940241] |
[a1,a2,a3,a4,a6] |
Generators |
[241390:-101107:1000] |
Generators of the group modulo torsion |
j |
585791542399530207313/233453410146 |
j-invariant |
L |
9.2584530167591 |
L(r)(E,1)/r! |
Ω |
0.80483557365107 |
Real period |
R |
5.7517667706701 |
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 |
104346m2 |
Quadratic twists by: -3 |