Atkin-Lehner |
2+ 3- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362d |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3415569002195652864 = 28 · 312 · 232 · 834 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8928243,10270113525] |
[a1,a2,a3,a4,a6] |
Generators |
[2097:26622:1] |
Generators of the group modulo torsion |
j |
107967791281125669057073/4685279838402816 |
j-invariant |
L |
2.7284637769316 |
L(r)(E,1)/r! |
Ω |
0.23565298494811 |
Real period |
R |
5.7891559861477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11454b2 |
Quadratic twists by: -3 |