Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10620b |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-37161504000 = -1 · 28 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21303,-1196802] |
[a1,a2,a3,a4,a6] |
Generators |
[484638:2035125:2744] |
Generators of the group modulo torsion |
j |
-212185037808/7375 |
j-invariant |
L |
3.6333400912472 |
L(r)(E,1)/r! |
Ω |
0.19758704285229 |
Real period |
R |
9.1942772127102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480q2 10620e1 53100e2 |
Quadratic twists by: -4 -3 5 |