Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416h |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
39319390656 = 26 · 39 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1123659,458458380] |
[a1,a2,a3,a4,a6] |
Generators |
[6633814:5035175:10648] |
Generators of the group modulo torsion |
j |
124553532612291264/31213 |
j-invariant |
L |
6.7980744065953 |
L(r)(E,1)/r! |
Ω |
0.6771462235519 |
Real period |
R |
10.039300479161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416s1 26208b2 52416j1 |
Quadratic twists by: -4 8 -3 |