Atkin-Lehner |
2+ 7- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768g |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-782968481792 = -1 · 211 · 75 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2448,62324] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:322:1] [22:140:1] |
Generators of the group modulo torsion |
j |
-792511177250/382308829 |
j-invariant |
L |
13.816943702737 |
L(r)(E,1)/r! |
Ω |
0.8361161517084 |
Real period |
R |
0.41312871647446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55384i1 |
Quadratic twists by: -4 |