Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150t |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
1.7230263584225E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-491579200,-4195219076000] |
[a1,a2,a3,a4,a6] |
Generators |
[-991135049842173715530532426575755:961689896919460796709222684412123:77322123692739182093787098875] |
Generators of the group modulo torsion |
j |
1296633753003985/17006112 |
j-invariant |
L |
3.1071662738534 |
L(r)(E,1)/r! |
Ω |
0.032062805588679 |
Real period |
R |
48.454372859849 |
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 |
54450he1 18150cx1 18150cl1 |
Quadratic twists by: -3 5 -11 |