Atkin-Lehner |
2+ 3- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330w |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9799680 |
Modular degree for the optimal curve |
Δ |
-2.7349984117965E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30115989,64115917173] |
[a1,a2,a3,a4,a6] |
Generators |
[17067:2117784:1] |
Generators of the group modulo torsion |
j |
-4143693092933037867240529/37517124990350131200 |
j-invariant |
L |
5.7946474781128 |
L(r)(E,1)/r! |
Ω |
0.11911172152589 |
Real period |
R |
4.0540702769628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110v1 |
Quadratic twists by: -3 |