Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671q |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112205559340358127 = 310 · 711 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -2 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39527501,-95642797498] |
[a1,a2,a3,a4,a6] |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
0.48168675360746 |
L(r)(E,1)/r! |
Ω |
0.060210844200932 |
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 |
4557n2 1953e2 |
Quadratic twists by: -3 -7 |