Atkin-Lehner |
3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8979b |
Isogeny class |
Conductor |
8979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-845311602687633 = -1 · 324 · 41 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4891,-1390588] |
[a1,a2,a3,a4,a6] |
Generators |
[1830177201888:-27981432360757:8193540096] |
Generators of the group modulo torsion |
j |
12939310986095663/845311602687633 |
j-invariant |
L |
2.4993980777049 |
L(r)(E,1)/r! |
Ω |
0.23888918299556 |
Real period |
R |
20.925167446793 |
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 |
26937b3 |
Quadratic twists by: -3 |