Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115bb |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
43333208335636065 = 318 · 5 · 75 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197379,32281200] |
[a1,a2,a3,a4,a6] |
j |
876440017817099/44659644435 |
j-invariant |
L |
3.560395790469 |
L(r)(E,1)/r! |
Ω |
0.3560395790462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705j1 38115v1 |
Quadratic twists by: -3 -11 |