Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cr |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-24951306576494592 = -1 · 215 · 316 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36588,-8063120] |
[a1,a2,a3,a4,a6] |
j |
-226757813192/1044517761 |
j-invariant |
L |
5.0062508668692 |
L(r)(E,1)/r! |
Ω |
0.15644533892294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bm2 38304bm2 25536bq2 |
Quadratic twists by: -4 8 -3 |