Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192k |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-1418444109824 = -1 · 211 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 6 -3 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184,57232] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:196:1] [9:244:1] |
Generators of the group modulo torsion |
j |
397822/823543 |
j-invariant |
L |
9.6173390619605 |
L(r)(E,1)/r! |
Ω |
0.66890312573885 |
Real period |
R |
0.51349198688824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47096b1 94192m1 |
Quadratic twists by: -4 29 |