Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650y |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
677058320312500 = 22 · 510 · 7 · 195 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125013,-17018969] |
[a1,a2,a3,a4,a6] |
Generators |
[-701715:1016998:3375] |
Generators of the group modulo torsion |
j |
22125312720025/69330772 |
j-invariant |
L |
4.9305824578598 |
L(r)(E,1)/r! |
Ω |
0.25394669070713 |
Real period |
R |
9.7079084671871 |
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 |
53200bt2 59850ca2 6650i1 46550cj2 |
Quadratic twists by: -4 -3 5 -7 |