Atkin-Lehner |
2- 3+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113712h |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14880 |
Modular degree for the optimal curve |
Δ |
-113712 = -1 · 24 · 3 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 -3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,288] |
[a1,a2,a3,a4,a6] |
j |
-3196715008/7107 |
j-invariant |
L |
3.3351950804014 |
L(r)(E,1)/r! |
Ω |
3.3351954241286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28428c1 |
Quadratic twists by: -4 |