Atkin-Lehner |
2- 3+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606ba |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
13929740735518062 = 2 · 39 · 76 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-639875,-196769195] |
[a1,a2,a3,a4,a6] |
Generators |
[-29836:29537:64] |
Generators of the group modulo torsion |
j |
1472031864229228875/707704147514 |
j-invariant |
L |
10.491743468653 |
L(r)(E,1)/r! |
Ω |
0.16880618444082 |
Real period |
R |
3.4529222911783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606i2 |
Quadratic twists by: -3 |