Atkin-Lehner |
3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689c |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-7996541456874663 = -1 · 33 · 78 · 116 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94866,-12080889] |
[a1,a2,a3,a4,a6] |
j |
-53297461115137/4513839183 |
j-invariant |
L |
0.27072230289275 |
L(r)(E,1)/r! |
Ω |
0.13536115586507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
609b1 |
Quadratic twists by: -11 |