Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48608j |
Isogeny class |
Conductor |
48608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5231776256 = -1 · 29 · 73 · 313 |
Discriminant |
Eigenvalues |
2- -1 1 7- 2 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,3844] |
[a1,a2,a3,a4,a6] |
Generators |
[16:62:1] [40:238:1] |
Generators of the group modulo torsion |
j |
-8741816/29791 |
j-invariant |
L |
8.372473496095 |
L(r)(E,1)/r! |
Ω |
1.1923131493238 |
Real period |
R |
0.58517020052187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48608b1 97216v1 48608g1 |
Quadratic twists by: -4 8 -7 |