Atkin-Lehner |
3- 13- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73593d |
Isogeny class |
Conductor |
73593 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-954796538709 = -1 · 38 · 132 · 17 · 373 |
Discriminant |
Eigenvalues |
1 3- -1 3 -1 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63000,6102337] |
[a1,a2,a3,a4,a6] |
Generators |
[128:287:1] |
Generators of the group modulo torsion |
j |
-37933394689008001/1309734621 |
j-invariant |
L |
7.5362488668765 |
L(r)(E,1)/r! |
Ω |
0.8240347065504 |
Real period |
R |
1.1431934855425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24531b1 |
Quadratic twists by: -3 |