Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260r |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-1.6185625454854E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,632112,-6994172] |
[a1,a2,a3,a4,a6] |
Generators |
[12:770:1] [56:5346:1] |
Generators of the group modulo torsion |
j |
149671228591898624/86728531458195 |
j-invariant |
L |
10.091695793832 |
L(r)(E,1)/r! |
Ω |
0.13087110417744 |
Real period |
R |
0.803247071587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420n1 |
Quadratic twists by: -3 |