Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ga |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-46281489408000000 = -1 · 216 · 32 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38808,-10773612] |
[a1,a2,a3,a4,a6] |
Generators |
[320292:22642125:64] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
8.1567806204056 |
L(r)(E,1)/r! |
Ω |
0.15074090491273 |
Real period |
R |
6.7639077675993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550i1 3696q1 |
Quadratic twists by: -4 5 |