Atkin-Lehner |
2- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040p |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-11681792000000 = -1 · 220 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 5 2 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3960,134900] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2852000000 |
j-invariant |
L |
5.8769743158924 |
L(r)(E,1)/r! |
Ω |
0.48974785953869 |
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 |
7130e1 |
Quadratic twists by: -4 |