Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320p |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
97274960640000 = 211 · 312 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12176,-209676] |
[a1,a2,a3,a4,a6] |
Generators |
[142:972:1] [-74:540:1] |
Generators of the group modulo torsion |
j |
97486245727778/47497539375 |
j-invariant |
L |
8.7336824859029 |
L(r)(E,1)/r! |
Ω |
0.47738078102337 |
Real period |
R |
0.76229176242172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160q3 102960bs4 |
Quadratic twists by: -4 -3 |