Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370h |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1439493868904000 = 26 · 53 · 712 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46477,3377949] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2811:1] |
Generators of the group modulo torsion |
j |
94376601570889/12235496000 |
j-invariant |
L |
4.3758493679779 |
L(r)(E,1)/r! |
Ω |
0.46164592116659 |
Real period |
R |
1.5798000037634 |
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 |
50960bt3 57330do3 31850cb3 910c3 |
Quadratic twists by: -4 -3 5 -7 |