Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32136c |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20906930397090816 = 210 · 35 · 138 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-543472,154234780] |
[a1,a2,a3,a4,a6] |
Generators |
[1490:51480:1] |
Generators of the group modulo torsion |
j |
17336286529158886852/20416924215909 |
j-invariant |
L |
6.0344749928067 |
L(r)(E,1)/r! |
Ω |
0.38205225953363 |
Real period |
R |
3.9487235333805 |
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 |
64272f4 96408s4 |
Quadratic twists by: -4 -3 |