Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560cd |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1034575893750000 = -1 · 24 · 3 · 58 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129766,18015659] |
[a1,a2,a3,a4,a6] |
Generators |
[104377:894375:343] |
Generators of the group modulo torsion |
j |
-15103925323442662144/64660993359375 |
j-invariant |
L |
6.0759548152056 |
L(r)(E,1)/r! |
Ω |
0.49487316654727 |
Real period |
R |
6.1389010462885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28140d1 |
Quadratic twists by: -4 |