Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
123708c |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-26456782719744 = -1 · 28 · 33 · 137 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,-247391] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3718:1] |
Generators of the group modulo torsion |
j |
-65536/21411 |
j-invariant |
L |
5.4618543452493 |
L(r)(E,1)/r! |
Ω |
0.29932123127053 |
Real period |
R |
1.5206222858728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998652308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9516b1 |
Quadratic twists by: 13 |