Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912j |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-30213679104 = -1 · 211 · 36 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656,-10356] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1566:1] |
Generators of the group modulo torsion |
j |
-15267472418/14752773 |
j-invariant |
L |
3.0697987901402 |
L(r)(E,1)/r! |
Ω |
0.4537579585009 |
Real period |
R |
3.3826390618933 |
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 |
19824i1 79296p1 29736f1 69384ba1 |
Quadratic twists by: -4 8 -3 -7 |