Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440co |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
248702487920640000 = 218 · 38 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330136,-69065836] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:1998:1] |
Generators of the group modulo torsion |
j |
971502079592987929/60718380840000 |
j-invariant |
L |
4.2249951106228 |
L(r)(E,1)/r! |
Ω |
0.19995090318513 |
Real period |
R |
1.3206351680496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918341 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430d2 |
Quadratic twists by: -4 |