Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400m |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10978063488000 = -1 · 210 · 36 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15328,752752] |
[a1,a2,a3,a4,a6] |
Generators |
[46:378:1] |
Generators of the group modulo torsion |
j |
-3111705953492/85766121 |
j-invariant |
L |
3.690193166756 |
L(r)(E,1)/r! |
Ω |
0.71717182094248 |
Real period |
R |
0.42878998902319 |
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 |
4200bb2 33600hg2 25200ci2 8400bb2 |
Quadratic twists by: -4 8 -3 5 |