Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cg |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-7013400576 = -1 · 219 · 3 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 1 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,2689] |
[a1,a2,a3,a4,a6] |
Generators |
[33:224:1] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
4.3829354075954 |
L(r)(E,1)/r! |
Ω |
0.88384150768638 |
Real period |
R |
0.61987010866538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999900284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304iq1 3822be1 122304dp1 |
Quadratic twists by: -4 8 -7 |