Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210f |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15400164686760000 = 26 · 36 · 54 · 76 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13788600,-19703908864] |
[a1,a2,a3,a4,a6] |
Generators |
[-29268513361:14370032633:13651919] |
Generators of the group modulo torsion |
j |
397701034713398318537601/21125054440000 |
j-invariant |
L |
2.8435937269792 |
L(r)(E,1)/r! |
Ω |
0.078346484026013 |
Real period |
R |
9.073775812432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4690d2 |
Quadratic twists by: -3 |