Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240q |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
238064062500000000 = 28 · 36 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244407,40147594] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:8640:1] [63:5000:1] |
Generators of the group modulo torsion |
j |
8651614090955344/1275634765625 |
j-invariant |
L |
10.752767473007 |
L(r)(E,1)/r! |
Ω |
0.30025316576022 |
Real period |
R |
2.5580240513171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360n2 |
Quadratic twists by: -3 |