Atkin-Lehner |
2- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120700c |
Isogeny class |
Conductor |
120700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-301750000 = -1 · 24 · 56 · 17 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -1 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,-1187] |
[a1,a2,a3,a4,a6] |
Generators |
[33:175:1] |
Generators of the group modulo torsion |
j |
-1755904/1207 |
j-invariant |
L |
2.7555312864916 |
L(r)(E,1)/r! |
Ω |
0.65302064745576 |
Real period |
R |
2.1098346901073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000020241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4828a1 |
Quadratic twists by: 5 |