Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248u |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6.6533973798639E+24 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20466476,-129117955120] |
[a1,a2,a3,a4,a6] |
Generators |
[1181674946245114903659023152052:5403360833119898592102432839280:184972500289360284172353703] |
Generators of the group modulo torsion |
j |
-3616704293889173525793/25380696792083390344 |
j-invariant |
L |
4.4361203889496 |
L(r)(E,1)/r! |
Ω |
0.031489409785905 |
Real period |
R |
46.958860327294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77248j3 19312j4 |
Quadratic twists by: -4 8 |