Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870bm |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.3033184778653E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2816213,541099437] |
[a1,a2,a3,a4,a6] |
Generators |
[-1453:40272:1] |
Generators of the group modulo torsion |
j |
3388383326345613179401/1787816842064922240 |
j-invariant |
L |
6.9688677227515 |
L(r)(E,1)/r! |
Ω |
0.13401904360251 |
Real period |
R |
1.8571102006487 |
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 |
102960dq2 4290i2 64350bg2 |
Quadratic twists by: -4 -3 5 |