Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46920z |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
5026187700000000 = 28 · 35 · 58 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43585,780275] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:2070:1] |
Generators of the group modulo torsion |
j |
35768840497939456/19633545703125 |
j-invariant |
L |
7.7201751329127 |
L(r)(E,1)/r! |
Ω |
0.37534585904738 |
Real period |
R |
0.085700682748462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840k1 |
Quadratic twists by: -4 |