Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855c |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3493988862890625 = 33 · 58 · 117 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3259863,2264052168] |
[a1,a2,a3,a4,a6] |
j |
2162548495235945809/1972265625 |
j-invariant |
L |
0.74444733211341 |
L(r)(E,1)/r! |
Ω |
0.37222366605849 |
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 |
92565by4 2805a3 |
Quadratic twists by: -3 -11 |