Atkin-Lehner |
5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44785c |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-10392723128125 = -1 · 55 · 137 · 53 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -1 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6764,263811] |
[a1,a2,a3,a4,a6] |
Generators |
[1:506:1] [502:2111:8] |
Generators of the group modulo torsion |
j |
-7088952961/2153125 |
j-invariant |
L |
7.9199693466075 |
L(r)(E,1)/r! |
Ω |
0.68401892930271 |
Real period |
R |
2.8946455307463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3445b1 |
Quadratic twists by: 13 |