Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74529bq |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-64630861568091 = -1 · 36 · 79 · 133 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 2 13- 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13377,-710096] |
[a1,a2,a3,a4,a6] |
j |
-4096 |
j-invariant |
L |
1.7531188578988 |
L(r)(E,1)/r! |
Ω |
0.21913985761533 |
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 |
8281j1 74529br1 74529bo1 |
Quadratic twists by: -3 -7 13 |