Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600do |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-13352947200000000 = -1 · 215 · 39 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28792,5241588] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1350:1] |
Generators of the group modulo torsion |
j |
1649696855/8345592 |
j-invariant |
L |
8.6460573618663 |
L(r)(E,1)/r! |
Ω |
0.28625277871795 |
Real period |
R |
0.5593384074377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950f1 63600bi1 |
Quadratic twists by: -4 5 |