Atkin-Lehner |
2- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608p |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4313298710852698112 = -1 · 215 · 73 · 136 · 433 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-603408,-206033984] |
[a1,a2,a3,a4,a6] |
Generators |
[1170:26234:1] |
Generators of the group modulo torsion |
j |
-5931952642405140625/1053051443079272 |
j-invariant |
L |
4.6485393595774 |
L(r)(E,1)/r! |
Ω |
0.084827638837301 |
Real period |
R |
4.566651687064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826l2 |
Quadratic twists by: -4 |