Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400bq |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3631824630000 = -1 · 24 · 32 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3842,-4013] |
[a1,a2,a3,a4,a6] |
Generators |
[13:219:1] |
Generators of the group modulo torsion |
j |
627021958400/363182463 |
j-invariant |
L |
3.4462847036792 |
L(r)(E,1)/r! |
Ω |
0.46912612075957 |
Real period |
R |
3.6730897632595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2100r2 33600hc2 25200fe2 8400ch2 |
Quadratic twists by: -4 8 -3 5 |