Atkin-Lehner |
3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405a |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-1.5318218579585E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1142385,-758303200] |
[a1,a2,a3,a4,a6] |
Generators |
[1499024616868399846779522070629485798030696248:-26492736121865265528103937714675633023566241303:1035840636642596932362272938127150977023488] |
Generators of the group modulo torsion |
j |
-377933067/351125 |
j-invariant |
L |
9.3123509042754 |
L(r)(E,1)/r! |
Ω |
0.070325984903018 |
Real period |
R |
66.208463376455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126405e1 2385c1 |
Quadratic twists by: -3 53 |