Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48734b |
Isogeny class |
Conductor |
48734 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-10916416 = -1 · 26 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -6 -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,45,110] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] [-1:8:1] [14:101:8] |
Generators of the group modulo torsion |
j |
2988527/3136 |
j-invariant |
L |
5.94645731869 |
L(r)(E,1)/r! |
Ω |
1.5055135133927 |
Real period |
R |
0.9874466860961 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48734g1 |
Quadratic twists by: -59 |