Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960r |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2502268791287040000 = 211 · 37 · 54 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7928643,8592694558] |
[a1,a2,a3,a4,a6] |
Generators |
[6258:451724:1] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
4.1798975417464 |
L(r)(E,1)/r! |
Ω |
0.2421077518727 |
Real period |
R |
8.6323082739366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320bg4 6840m3 |
Quadratic twists by: -3 -19 |