Atkin-Lehner |
3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715g |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5564960593619851875 = 3 · 54 · 118 · 614 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-146419380,-682000674750] |
[a1,a2,a3,a4,a6] |
Generators |
[4836279:79420104:343] |
Generators of the group modulo torsion |
j |
195958132520634056214361/3141275176875 |
j-invariant |
L |
4.3891036843712 |
L(r)(E,1)/r! |
Ω |
0.04340101778965 |
Real period |
R |
12.641130995965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065d4 |
Quadratic twists by: -11 |