Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bw |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
14108403109729500 = 22 · 312 · 53 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252878,48674081] |
[a1,a2,a3,a4,a6] |
Generators |
[-519:6577:1] |
Generators of the group modulo torsion |
j |
2453170411237305241/19353090685500 |
j-invariant |
L |
7.1206166468199 |
L(r)(E,1)/r! |
Ω |
0.39812541420898 |
Real period |
R |
1.4904467270629 |
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 |
102960di2 4290o2 64350bm2 |
Quadratic twists by: -4 -3 5 |