Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958a |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-1305863108834476032 = -1 · 214 · 34 · 172 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-129880,-57910976] |
[a1,a2,a3,a4,a6] |
j |
-1636774161625/8821260288 |
j-invariant |
L |
0.45239042194938 |
L(r)(E,1)/r! |
Ω |
0.11309760557416 |
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 |
2346d1 |
Quadratic twists by: -23 |