Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350c |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-6.3825866851818E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-683681542,-6891197959884] |
[a1,a2,a3,a4,a6] |
Generators |
[759474292449708330120716670121471281130007199934343972401068064111:-73307414429973191356559653877225775019364361791990648436233072444594:21904444875350469048657076606183514277256718886473214330103687] |
Generators of the group modulo torsion |
j |
-133179212896925841/240518168576 |
j-invariant |
L |
4.4747507760803 |
L(r)(E,1)/r! |
Ω |
0.014760772593042 |
Real period |
R |
101.05050956004 |
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 |
5054b2 126350ci2 |
Quadratic twists by: 5 -19 |