Atkin-Lehner |
3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73689h |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-19190050103763 = -1 · 32 · 73 · 118 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4354,181251] |
[a1,a2,a3,a4,a6] |
Generators |
[50:701:1] |
Generators of the group modulo torsion |
j |
42568823/89523 |
j-invariant |
L |
2.8848726702577 |
L(r)(E,1)/r! |
Ω |
0.47551235292073 |
Real period |
R |
1.0111453649712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73689p1 |
Quadratic twists by: -11 |