Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870t |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
214665422400 = 26 · 38 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3474,-74732] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:70:1] |
Generators of the group modulo torsion |
j |
6361447449889/294465600 |
j-invariant |
L |
3.0184611708696 |
L(r)(E,1)/r! |
Ω |
0.62363346575531 |
Real period |
R |
1.2100301445553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960en2 4290t2 64350dy2 |
Quadratic twists by: -4 -3 5 |