Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bi |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-300441312000 = -1 · 28 · 311 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-26372] |
[a1,a2,a3,a4,a6] |
Generators |
[98:954:1] |
Generators of the group modulo torsion |
j |
-65536/1609875 |
j-invariant |
L |
5.2721528476755 |
L(r)(E,1)/r! |
Ω |
0.44268022150359 |
Real period |
R |
2.9774047899453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9540c1 12720bi1 |
Quadratic twists by: -4 -3 |