Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376bl |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
232128 = 26 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536,4602] |
[a1,a2,a3,a4,a6] |
Generators |
[-6539:172710:2197] |
Generators of the group modulo torsion |
j |
266592609856/3627 |
j-invariant |
L |
10.852776236627 |
L(r)(E,1)/r! |
Ω |
2.859876803145 |
Real period |
R |
7.5896809441399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bc1 38688d2 |
Quadratic twists by: -4 8 |