Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480k |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
8983277460000000 = 28 · 37 · 57 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119892,-15313876] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:225:1] |
Generators of the group modulo torsion |
j |
1021237687573504/48135703125 |
j-invariant |
L |
6.7390282345422 |
L(r)(E,1)/r! |
Ω |
0.25731707441265 |
Real period |
R |
1.8706848766591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21240n1 14160b1 |
Quadratic twists by: -4 -3 |