Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hh |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-562663158750000 = -1 · 24 · 312 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66533,-6725562] |
[a1,a2,a3,a4,a6] |
Generators |
[838:22950:1] |
Generators of the group modulo torsion |
j |
-130287139815424/2250652635 |
j-invariant |
L |
8.594004814873 |
L(r)(E,1)/r! |
Ω |
0.14847879917873 |
Real period |
R |
2.4116812357194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100b1 18480bo1 |
Quadratic twists by: -4 5 |