Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bt |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
8467200 |
Modular degree for the optimal curve |
Δ |
-3.3100937236193E+23 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-242078474,-1449998551100] |
[a1,a2,a3,a4,a6] |
Generators |
[43912:8498270:1] |
Generators of the group modulo torsion |
j |
-5554076165405330903473/1171817260215712 |
j-invariant |
L |
5.1417516552512 |
L(r)(E,1)/r! |
Ω |
0.019137051197996 |
Real period |
R |
2.5588614921231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418ba1 |
Quadratic twists by: -7 |