Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970cb |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
366553686510000 = 24 · 32 · 54 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213641535,-1202012023563] |
[a1,a2,a3,a4,a6] |
Generators |
[-210112567404:105047816283:24897088] |
Generators of the group modulo torsion |
j |
608729950623321661295881/206910000 |
j-invariant |
L |
7.8126081417395 |
L(r)(E,1)/r! |
Ω |
0.039489181511218 |
Real period |
R |
12.365108371444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270b4 |
Quadratic twists by: -11 |