Atkin-Lehner |
3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93633a |
Isogeny class |
Conductor |
93633 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1015680 |
Modular degree for the optimal curve |
Δ |
-272826936821608371 = -1 · 310 · 238 · 59 |
Discriminant |
Eigenvalues |
0 3- 1 3 2 4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-519125,-146314822] |
[a1,a2,a3,a4,a6] |
Generators |
[6698:20627:8] |
Generators of the group modulo torsion |
j |
-197568495616/3483891 |
j-invariant |
L |
8.9328276588774 |
L(r)(E,1)/r! |
Ω |
0.088837647833772 |
Real period |
R |
3.3517425235183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93633b1 |
Quadratic twists by: -23 |