Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ch |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4274756836531384320 = -1 · 212 · 39 · 5 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,292032,-78775632] |
[a1,a2,a3,a4,a6] |
j |
7077888/10985 |
j-invariant |
L |
0.51996713274701 |
L(r)(E,1)/r! |
Ω |
0.12999196263214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7605a2 121680cu1 9360bg2 |
Quadratic twists by: -4 -3 13 |