Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944ba |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
13343076341712 = 24 · 37 · 136 · 79 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7302,163685] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:513:1] [22:117:1] |
Generators of the group modulo torsion |
j |
3691489921024/1143953733 |
j-invariant |
L |
7.9478429946165 |
L(r)(E,1)/r! |
Ω |
0.65515933931232 |
Real period |
R |
2.0218600569715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648e1 |
Quadratic twists by: -3 |