Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400x |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-50620379040000000 = -1 · 211 · 32 · 57 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,10825312] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:2100:1] |
Generators of the group modulo torsion |
j |
-9653618/1581886845 |
j-invariant |
L |
6.3480699757344 |
L(r)(E,1)/r! |
Ω |
0.28366221688186 |
Real period |
R |
0.6993430035698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994087 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200ck3 18480u4 |
Quadratic twists by: -4 5 |