Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680x |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-30965666310896640 = -1 · 210 · 3 · 5 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64640,-5605840] |
[a1,a2,a3,a4,a6] |
Generators |
[39738984077:397969985490:451217663] |
Generators of the group modulo torsion |
j |
1208446844/1252815 |
j-invariant |
L |
7.6359693821748 |
L(r)(E,1)/r! |
Ω |
0.20123118116595 |
Real period |
R |
18.973126674334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360p3 104040by3 2040a4 |
Quadratic twists by: -4 -3 17 |