Atkin-Lehner |
2- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4186a |
Isogeny class |
Conductor |
4186 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2060047808 = 26 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -4 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7826,-269729] |
[a1,a2,a3,a4,a6] |
j |
53008645999484449/2060047808 |
j-invariant |
L |
6.0911116964067 |
L(r)(E,1)/r! |
Ω |
0.50759264136723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33488bb2 37674f2 104650i2 29302g2 |
Quadratic twists by: -4 -3 5 -7 |