Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800z |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
126056250000000000 = 210 · 35 · 514 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126408,2770812] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:86800:1] |
Generators of the group modulo torsion |
j |
13961460287236/7878515625 |
j-invariant |
L |
2.8529297028264 |
L(r)(E,1)/r! |
Ω |
0.28444324576625 |
Real period |
R |
5.014936626722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600w1 9960d1 |
Quadratic twists by: -4 5 |