Atkin-Lehner |
2- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12980g |
Isogeny class |
Conductor |
12980 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1622500000000 = -1 · 28 · 510 · 11 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2420,-39900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:130:1] [40:350:1] |
Generators of the group modulo torsion |
j |
6119985199664/6337890625 |
j-invariant |
L |
4.7027439800209 |
L(r)(E,1)/r! |
Ω |
0.45756820397722 |
Real period |
R |
1.3703586158726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51920x2 116820l2 64900c2 |
Quadratic twists by: -4 -3 5 |