Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400x |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
192099600000000 = 210 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46408,3805312] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:2750:1] |
Generators of the group modulo torsion |
j |
690862540036/12006225 |
j-invariant |
L |
6.3480699757344 |
L(r)(E,1)/r! |
Ω |
0.56732443376372 |
Real period |
R |
1.3986860071396 |
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 |
46200ck2 18480u2 |
Quadratic twists by: -4 5 |