Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040s |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
302246022210000 = 24 · 3 · 54 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34255,2303872] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:2035:1] [29:1155:1] |
Generators of the group modulo torsion |
j |
277835875530520576/18890376388125 |
j-invariant |
L |
9.3521159707858 |
L(r)(E,1)/r! |
Ω |
0.5352850910285 |
Real period |
R |
4.3678201240506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124080w1 |
Quadratic twists by: -4 |