Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838bh |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-34905989664 = -1 · 25 · 310 · 72 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117,8992] |
[a1,a2,a3,a4,a6] |
Generators |
[20:111:1] |
Generators of the group modulo torsion |
j |
-3570576793/712367136 |
j-invariant |
L |
8.5579000650943 |
L(r)(E,1)/r! |
Ω |
0.9479659385234 |
Real period |
R |
0.90276450971479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838b1 |
Quadratic twists by: -7 |