Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ba |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-3555411148800 = -1 · 214 · 311 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2875,67677] |
[a1,a2,a3,a4,a6] |
Generators |
[364:7015:1] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
5.5172211488867 |
L(r)(E,1)/r! |
Ω |
0.53293653477955 |
Real period |
R |
5.1762459400172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040gq1 5880i1 47040bw1 |
Quadratic twists by: -4 8 -7 |