Atkin-Lehner |
3- 5- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75555g |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1359360 |
Modular degree for the optimal curve |
Δ |
-7337979043875 = -1 · 38 · 53 · 23 · 733 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -1 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5197577,4562188076] |
[a1,a2,a3,a4,a6] |
j |
-21300946486747956377929/10065814875 |
j-invariant |
L |
2.7098340270309 |
L(r)(E,1)/r! |
Ω |
0.45163901860877 |
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 |
25185c1 |
Quadratic twists by: -3 |