Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230dg |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26743866187500 = 22 · 38 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20813,-1123383] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:90:1] |
Generators of the group modulo torsion |
j |
1027549183571/27562500 |
j-invariant |
L |
8.9582546740592 |
L(r)(E,1)/r! |
Ω |
0.39813343675231 |
Real period |
R |
2.8125792279055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410j2 76230ba2 |
Quadratic twists by: -3 -11 |