Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22575a |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-12754608911296875 = -1 · 318 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1083,-5433307] |
[a1,a2,a3,a4,a6] |
Generators |
[3927:246037:1] |
Generators of the group modulo torsion |
j |
-8998912000/816294970323 |
j-invariant |
L |
2.5550905639955 |
L(r)(E,1)/r! |
Ω |
0.18250996120447 |
Real period |
R |
1.7499665135626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67725m1 903b1 |
Quadratic twists by: -3 5 |