Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045g |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
432067119515625 = 3 · 56 · 118 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-614807657,-5867809095936] |
[a1,a2,a3,a4,a6] |
j |
14507260360694257864644721/243890625 |
j-invariant |
L |
3.2744510087173 |
L(r)(E,1)/r! |
Ω |
0.030318990549896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7095b1 |
Quadratic twists by: -11 |