Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bs |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-61099879680 = -1 · 28 · 32 · 5 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2276,44220] |
[a1,a2,a3,a4,a6] |
Generators |
[29:42:1] |
Generators of the group modulo torsion |
j |
-5095552972624/238671405 |
j-invariant |
L |
5.7330958344304 |
L(r)(E,1)/r! |
Ω |
1.097336141323 |
Real period |
R |
1.3061393903343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740p2 |
Quadratic twists by: -4 |