Atkin-Lehner |
2- 3- 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92430bu |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
153306320544000 = 28 · 310 · 53 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28472,-1743429] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:129:1] |
Generators of the group modulo torsion |
j |
3501352281813049/210296736000 |
j-invariant |
L |
12.363306164225 |
L(r)(E,1)/r! |
Ω |
0.36891343301524 |
Real period |
R |
1.3963648661753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810d1 |
Quadratic twists by: -3 |