Atkin-Lehner |
2+ 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954c |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-742413972952253448 = -1 · 23 · 320 · 72 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-904557,-334094715] |
[a1,a2,a3,a4,a6] |
j |
-81852562241244159445081/742413972952253448 |
j-invariant |
L |
0.30944644791409 |
L(r)(E,1)/r! |
Ω |
0.077361611978083 |
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 |
92862bk2 |
Quadratic twists by: -3 |