Atkin-Lehner |
3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55419d |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-14324417878407 = -1 · 3 · 78 · 134 · 29 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19233,-1050720] |
[a1,a2,a3,a4,a6] |
j |
-6688239997321/121755543 |
j-invariant |
L |
3.2397078817649 |
L(r)(E,1)/r! |
Ω |
0.20248174254118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917d1 |
Quadratic twists by: -7 |