Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420be |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1847250074880 = -1 · 28 · 38 · 5 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,-64906] |
[a1,a2,a3,a4,a6] |
Generators |
[55:378:1] [115:1242:1] |
Generators of the group modulo torsion |
j |
253012016/9898245 |
j-invariant |
L |
11.336111798348 |
L(r)(E,1)/r! |
Ω |
0.40091932613526 |
Real period |
R |
2.3562744961687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140e2 |
Quadratic twists by: -3 |