Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320h |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-227406400000000 = -1 · 212 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23265,1538863] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:-1625:1] [71:-500:1] |
Generators of the group modulo torsion |
j |
-340009930870336/55519140625 |
j-invariant |
L |
6.9658497417323 |
L(r)(E,1)/r! |
Ω |
0.53846301501327 |
Real period |
R |
0.40426695680028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320v2 120640v1 |
Quadratic twists by: -4 8 |