Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304y |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
286594412544 = 212 · 34 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25649,1572351] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:495:1] [-149:1452:1] |
Generators of the group modulo torsion |
j |
455608700483392/69969339 |
j-invariant |
L |
10.802603034179 |
L(r)(E,1)/r! |
Ω |
0.941996300283 |
Real period |
R |
2.8669441246589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62304d4 124608f1 |
Quadratic twists by: -4 8 |