Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304bd |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-26340142079803392 = -1 · 226 · 310 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35355,8217034] |
[a1,a2,a3,a4,a6] |
j |
-1636774161625/8821260288 |
j-invariant |
L |
2.6036796041425 |
L(r)(E,1)/r! |
Ω |
0.32545995050827 |
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 |
7038k1 18768z1 |
Quadratic twists by: -4 -3 |