Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032j |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-499238354944 = -1 · 214 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 3 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,784,32928] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1421:8] |
Generators of the group modulo torsion |
j |
27648/259 |
j-invariant |
L |
7.8737273472108 |
L(r)(E,1)/r! |
Ω |
0.68249834110854 |
Real period |
R |
2.8841562165513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bg1 14504b1 16576c1 |
Quadratic twists by: -4 8 -7 |