Atkin-Lehner |
3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715f |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1103793836751045 = -1 · 32 · 5 · 116 · 614 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19660,-1187350] |
[a1,a2,a3,a4,a6] |
Generators |
[6805:23926:125] |
Generators of the group modulo torsion |
j |
474369503399/623062845 |
j-invariant |
L |
4.3638308024335 |
L(r)(E,1)/r! |
Ω |
0.26134868715801 |
Real period |
R |
8.3486756478247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999136065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
915b4 |
Quadratic twists by: -11 |