Atkin-Lehner |
2+ 3+ 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330d |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-34998750000 = -1 · 24 · 33 · 57 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384,-9360] |
[a1,a2,a3,a4,a6] |
Generators |
[36:132:1] |
Generators of the group modulo torsion |
j |
-232268138523/1296250000 |
j-invariant |
L |
5.3189010380319 |
L(r)(E,1)/r! |
Ω |
0.48410624400007 |
Real period |
R |
0.39239475595237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93330x1 |
Quadratic twists by: -3 |