Atkin-Lehner |
2+ 3+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
55056f |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-250576152576 = -1 · 211 · 3 · 313 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 1 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3480,-81456] |
[a1,a2,a3,a4,a6] |
Generators |
[281:4588:1] |
Generators of the group modulo torsion |
j |
-2276440392242/122351637 |
j-invariant |
L |
6.1635149600259 |
L(r)(E,1)/r! |
Ω |
0.30981980734618 |
Real period |
R |
1.6578224971163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528c1 |
Quadratic twists by: -4 |