Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28329a |
Isogeny class |
Conductor |
28329 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-486568753124391 = -1 · 318 · 72 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10764,974835] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:1475:8] |
Generators of the group modulo torsion |
j |
137905547173572023/486568753124391 |
j-invariant |
L |
4.0505393205251 |
L(r)(E,1)/r! |
Ω |
0.37207894869832 |
Real period |
R |
5.4431180999294 |
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 |
84987o2 |
Quadratic twists by: -3 |