Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778k |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-315630756 = -1 · 22 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,165,-230] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] [23:114:1] |
Generators of the group modulo torsion |
j |
226860023/142884 |
j-invariant |
L |
8.556311836794 |
L(r)(E,1)/r! |
Ω |
0.98848540251963 |
Real period |
R |
0.36066591605411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92778j1 |
Quadratic twists by: -47 |