Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525f |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-233690730844921875 = -1 · 311 · 58 · 72 · 413 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -3 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,92742,-20592457] |
[a1,a2,a3,a4,a6] |
j |
5645837515526144/14956206774075 |
j-invariant |
L |
1.9368419395421 |
L(r)(E,1)/r! |
Ω |
0.16140349496185 |
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 |
64575m1 4305n1 |
Quadratic twists by: -3 5 |