Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768cu |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-1483997184 = -1 · 218 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1089,-13599] |
[a1,a2,a3,a4,a6] |
j |
-545338513/5661 |
j-invariant |
L |
3.3220084901372 |
L(r)(E,1)/r! |
Ω |
0.41525093953774 |
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 |
120768br1 30192bi1 |
Quadratic twists by: -4 8 |