Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92450a |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-9938375000000 = -1 · 26 · 59 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67,-151659] |
[a1,a2,a3,a4,a6] |
Generators |
[1989:87693:1] |
Generators of the group modulo torsion |
j |
-27/8000 |
j-invariant |
L |
3.8679061274035 |
L(r)(E,1)/r! |
Ω |
0.33176162919129 |
Real period |
R |
2.9146726108708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18490g1 92450t1 |
Quadratic twists by: 5 -43 |