Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725n |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-323059731591796875 = -1 · 311 · 511 · 133 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-146550,-34844094] |
[a1,a2,a3,a4,a6] |
j |
-30558612127744/28361896875 |
j-invariant |
L |
1.4101513538585 |
L(r)(E,1)/r! |
Ω |
0.11751261279412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16575i1 9945g1 |
Quadratic twists by: -3 5 |