Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304y |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14303908827648 = -1 · 29 · 316 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4736,133400] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:138:1] [2:378:1] |
Generators of the group modulo torsion |
j |
22940196221944/27937321929 |
j-invariant |
L |
10.802603034179 |
L(r)(E,1)/r! |
Ω |
0.4709981501415 |
Real period |
R |
2.8669441246589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304d2 124608f3 |
Quadratic twists by: -4 8 |