Atkin-Lehner |
3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579h |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-28665040040091 = -1 · 38 · 7 · 135 · 412 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -4 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,393,-257576] |
[a1,a2,a3,a4,a6] |
j |
9208180736/39321042579 |
j-invariant |
L |
1.2299950669006 |
L(r)(E,1)/r! |
Ω |
0.30749876672654 |
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 |
11193b1 |
Quadratic twists by: -3 |