Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768bv |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11871977472 = -1 · 221 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -6 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,-5279] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-192:1] [55:384:1] |
Generators of the group modulo torsion |
j |
-3048625/45288 |
j-invariant |
L |
9.2659505369715 |
L(r)(E,1)/r! |
Ω |
0.54439202967238 |
Real period |
R |
2.127591430755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768w1 30192x1 |
Quadratic twists by: -4 8 |