Atkin-Lehner |
2- 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608s |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1014664496303411568 = -1 · 24 · 37 · 297 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -3 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132909,-44731829] |
[a1,a2,a3,a4,a6] |
Generators |
[353:6795:1] [461:-10701:1] |
Generators of the group modulo torsion |
j |
22260728475168512/86991126226287 |
j-invariant |
L |
9.7035212043075 |
L(r)(E,1)/r! |
Ω |
0.14070475485911 |
Real period |
R |
0.61574736594501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536e1 |
Quadratic twists by: -3 |