Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180b |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6635532960000 = -1 · 28 · 39 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4617,27918] |
[a1,a2,a3,a4,a6] |
Generators |
[19:350:1] |
Generators of the group modulo torsion |
j |
2160091152/1316875 |
j-invariant |
L |
5.1423479906149 |
L(r)(E,1)/r! |
Ω |
0.46168990857958 |
Real period |
R |
1.8563498627771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54180e2 |
Quadratic twists by: -3 |