Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030bo |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
1161156612096000 = 215 · 37 · 53 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160637,24766661] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:7144:1] |
Generators of the group modulo torsion |
j |
628825874759908489/1592807424000 |
j-invariant |
L |
11.019819836575 |
L(r)(E,1)/r! |
Ω |
0.48908334744453 |
Real period |
R |
0.75105261664072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000877 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23010f2 |
Quadratic twists by: -3 |