Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480r |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2039040 = 28 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -5 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,108] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] [-2:14:1] |
Generators of the group modulo torsion |
j |
1769472/295 |
j-invariant |
L |
8.9897847890864 |
L(r)(E,1)/r! |
Ω |
2.4988866692901 |
Real period |
R |
0.89937900141346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10620c1 42480bb1 |
Quadratic twists by: -4 -3 |