Atkin-Lehner |
2- 3+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
55056i |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-83135153597054976 = -1 · 223 · 35 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -5 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193000,35525488] |
[a1,a2,a3,a4,a6] |
j |
-194105544724737001/20296668358656 |
j-invariant |
L |
2.6636328914422 |
L(r)(E,1)/r! |
Ω |
0.33295411151157 |
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 |
6882f1 |
Quadratic twists by: -4 |