Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bx |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-589628160 = -1 · 28 · 34 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181,1439] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] [2:33:1] |
Generators of the group modulo torsion |
j |
-2575826944/2303235 |
j-invariant |
L |
12.764563368751 |
L(r)(E,1)/r! |
Ω |
1.4915777822559 |
Real period |
R |
0.53485994521821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31020c1 |
Quadratic twists by: -4 |