Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416j |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
53936064 = 26 · 33 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124851,-16979940] |
[a1,a2,a3,a4,a6] |
Generators |
[259399374:4193817623:474552] |
Generators of the group modulo torsion |
j |
124553532612291264/31213 |
j-invariant |
L |
3.8946287368732 |
L(r)(E,1)/r! |
Ω |
0.25398118689113 |
Real period |
R |
15.334319775878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416t1 26208bb2 52416h1 |
Quadratic twists by: -4 8 -3 |