Atkin-Lehner |
2+ 3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410b |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5068471586846400 = 26 · 38 · 52 · 19 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44190,-1014444] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:1050:1] |
Generators of the group modulo torsion |
j |
13091026942326241/6952635921600 |
j-invariant |
L |
4.1098646009011 |
L(r)(E,1)/r! |
Ω |
0.34974529676164 |
Real period |
R |
0.73443886389354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bl2 |
Quadratic twists by: -3 |