Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530q |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2336256 |
Modular degree for the optimal curve |
Δ |
6.5828171324494E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6041613,-5579406283] |
[a1,a2,a3,a4,a6] |
Generators |
[-1563:7372:1] |
Generators of the group modulo torsion |
j |
2299811187563973/62075699200 |
j-invariant |
L |
6.5656988167245 |
L(r)(E,1)/r! |
Ω |
0.096455502858901 |
Real period |
R |
2.6180660520801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62530g1 |
Quadratic twists by: 13 |