Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177f |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-3515325093598131 = -1 · 32 · 1111 · 372 |
Discriminant |
Eigenvalues |
2 3- 1 2 11+ 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32770,-1699057] |
[a1,a2,a3,a4,a6] |
j |
2842734729383936/2567805035499 |
j-invariant |
L |
7.8085220675018 |
L(r)(E,1)/r! |
Ω |
0.24401631461536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45177h1 |
Quadratic twists by: 37 |