Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480b |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
73181394000 = 24 · 39 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12258,-522207] |
[a1,a2,a3,a4,a6] |
j |
646801901568/232375 |
j-invariant |
L |
0.90747362221718 |
L(r)(E,1)/r! |
Ω |
0.45373681085754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960a1 51480bd1 |
Quadratic twists by: -4 -3 |