Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520s |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-43276008160000 = -1 · 28 · 54 · 76 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31340,2148400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:-1750:1] [-150:1870:1] |
Generators of the group modulo torsion |
j |
-13298252677940176/169046906875 |
j-invariant |
L |
7.5390577186423 |
L(r)(E,1)/r! |
Ω |
0.64382035724618 |
Real period |
R |
0.24395578782826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040p2 |
Quadratic twists by: -4 |