Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bi |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-62626037760000 = -1 · 218 · 35 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10680,-566928] |
[a1,a2,a3,a4,a6] |
j |
-32894113444921/15289560000 |
j-invariant |
L |
1.8374611137236 |
L(r)(E,1)/r! |
Ω |
0.22968263921561 |
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 |
4290p1 102960du1 |
Quadratic twists by: -4 -3 |