Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
4848n |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
1978695143424 = 212 · 314 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 2 -3 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3157,10141] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:2187:8] |
Generators of the group modulo torsion |
j |
849816322048/483079869 |
j-invariant |
L |
2.5450025569463 |
L(r)(E,1)/r! |
Ω |
0.71281697984189 |
Real period |
R |
1.7851725119615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
303a1 19392bl1 14544v1 121200dg1 |
Quadratic twists by: -4 8 -3 5 |