Atkin-Lehner |
2+ 3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330c |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-478925717299200000 = -1 · 216 · 33 · 55 · 175 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,190851,8827205] |
[a1,a2,a3,a4,a6] |
j |
28473574286649617397/17737989529600000 |
j-invariant |
L |
3.6561669275523 |
L(r)(E,1)/r! |
Ω |
0.18280835507715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93330z1 |
Quadratic twists by: -3 |