Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330r |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8926190220826260000 = 25 · 38 · 54 · 173 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67934754,215536215028] |
[a1,a2,a3,a4,a6] |
Generators |
[-9193:255764:1] |
Generators of the group modulo torsion |
j |
47563325173383999524916769/12244431029940000 |
j-invariant |
L |
3.8167415936314 |
L(r)(E,1)/r! |
Ω |
0.18479950486198 |
Real period |
R |
2.5816773641812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110p4 |
Quadratic twists by: -3 |