Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gr |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-2168279280000000 = -1 · 210 · 313 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51633,-5023863] |
[a1,a2,a3,a4,a6] |
Generators |
[16464:372025:27] |
Generators of the group modulo torsion |
j |
-951468070144/135517455 |
j-invariant |
L |
4.2716102190126 |
L(r)(E,1)/r! |
Ω |
0.15711624681931 |
Real period |
R |
6.7968945087865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600dz1 20400bj1 16320cw1 |
Quadratic twists by: -4 8 5 |