Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010i |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-65449620 = -1 · 22 · 36 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,69,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
36297569231/65449620 |
j-invariant |
L |
4.3668611822607 |
L(r)(E,1)/r! |
Ω |
1.0272639290768 |
Real period |
R |
0.70849387040927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080q2 64320s2 6030j2 10050d2 |
Quadratic twists by: -4 8 -3 5 |