Atkin-Lehner |
2+ 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040i |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
107017511040000 = 210 · 35 · 54 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244656,46494000] |
[a1,a2,a3,a4,a6] |
Generators |
[12:6600:1] |
Generators of the group modulo torsion |
j |
1581587207232368836/104509288125 |
j-invariant |
L |
6.9680670761477 |
L(r)(E,1)/r! |
Ω |
0.5648295365993 |
Real period |
R |
0.61682920463043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080a4 |
Quadratic twists by: -4 |