Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314r |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-12964955904 = -1 · 28 · 39 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 -4 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1001,13609] |
[a1,a2,a3,a4,a6] |
Generators |
[31:92:1] |
Generators of the group modulo torsion |
j |
-5630252139/658688 |
j-invariant |
L |
10.842877949126 |
L(r)(E,1)/r! |
Ω |
1.2259993378824 |
Real period |
R |
0.55275712708823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46314c1 |
Quadratic twists by: -3 |