Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8240k |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
-206000 = -1 · 24 · 53 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 4 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
21807104/12875 |
j-invariant |
L |
4.2470579458953 |
L(r)(E,1)/r! |
Ω |
1.8569276473726 |
Real period |
R |
0.76238079817928 |
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 |
2060b1 32960l1 74160bg1 41200bg1 |
Quadratic twists by: -4 8 -3 5 |