Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63480d |
Isogeny class |
Conductor |
63480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
102144763410000 = 24 · 3 · 54 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16575,667500] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:35:1] |
Generators of the group modulo torsion |
j |
212629504/43125 |
j-invariant |
L |
4.3249951507955 |
L(r)(E,1)/r! |
Ω |
0.56561895382993 |
Real period |
R |
3.823241001496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126960v1 2760a1 |
Quadratic twists by: -4 -23 |