Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456j |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3165565556736 = -1 · 211 · 39 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11+ 4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3073827,-2074279358] |
[a1,a2,a3,a4,a6] |
Generators |
[33717:6182636:1] |
Generators of the group modulo torsion |
j |
-2151317423848597058/2120283 |
j-invariant |
L |
8.4304572261086 |
L(r)(E,1)/r! |
Ω |
0.057009824455293 |
Real period |
R |
9.2423294003346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46728g1 31152j1 |
Quadratic twists by: -4 -3 |