Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1952d |
Isogeny class |
Conductor |
1952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-929714176 = -1 · 212 · 613 |
Discriminant |
Eigenvalues |
2- 0 1 -3 3 -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,-2752] |
[a1,a2,a3,a4,a6] |
Generators |
[64:488:1] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
2.9239597725705 |
L(r)(E,1)/r! |
Ω |
0.55248134822576 |
Real period |
R |
0.88206892472797 |
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 |
1952c1 3904g1 17568e1 48800d1 |
Quadratic twists by: -4 8 -3 5 |