Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504v |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-13276114845696 = -1 · 218 · 39 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 0 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5248,-98304] |
[a1,a2,a3,a4,a6] |
Generators |
[64:704:1] |
Generators of the group modulo torsion |
j |
3901777377407/3241238976 |
j-invariant |
L |
3.6124297552742 |
L(r)(E,1)/r! |
Ω |
0.39156016389637 |
Real period |
R |
2.3064334732273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996680972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438o1 |
Quadratic twists by: -4 |