Atkin-Lehner |
2+ 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680i |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.2314361378703E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19791120,-33771462768] |
[a1,a2,a3,a4,a6] |
j |
837210937968673600979524/3155699353388974425 |
j-invariant |
L |
3.4365417601162 |
L(r)(E,1)/r! |
Ω |
0.071594624262882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840m3 |
Quadratic twists by: -4 |