Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
84987c |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3531464811 = 39 · 7 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71579,7388848] |
[a1,a2,a3,a4,a6] |
Generators |
[5342:125575:8] |
Generators of the group modulo torsion |
j |
2060552156194251/179417 |
j-invariant |
L |
4.9822791452407 |
L(r)(E,1)/r! |
Ω |
1.0760751578804 |
Real period |
R |
4.6300475494455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84987e2 |
Quadratic twists by: -3 |