Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320n |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9096256000000 = -1 · 212 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2319,-137825] |
[a1,a2,a3,a4,a6] |
Generators |
[39:116:1] [50:325:1] |
Generators of the group modulo torsion |
j |
336572570816/2220765625 |
j-invariant |
L |
6.7796821252442 |
L(r)(E,1)/r! |
Ω |
0.36452413894431 |
Real period |
R |
2.3248399080259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320l2 120640db1 |
Quadratic twists by: -4 8 |