Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540i |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-8038279850193336240 = -1 · 24 · 310 · 5 · 7 · 796 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13311948,18694854673] |
[a1,a2,a3,a4,a6] |
Generators |
[88312744:-149442834789:1124864] |
Generators of the group modulo torsion |
j |
-22366654983379653246976/689152936402035 |
j-invariant |
L |
6.5367893070174 |
L(r)(E,1)/r! |
Ω |
0.2175649894845 |
Real period |
R |
15.022613101218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758671 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33180r3 |
Quadratic twists by: -3 |