Atkin-Lehner |
3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54825d |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6013440 |
Modular degree for the optimal curve |
Δ |
-1.5707410850227E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 1 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13069800,-5725616625] |
[a1,a2,a3,a4,a6] |
Generators |
[4526500302:568407110463:300763] |
Generators of the group modulo torsion |
j |
632077674699942338135/402109717765803363 |
j-invariant |
L |
6.6483423936107 |
L(r)(E,1)/r! |
Ω |
0.05878929751907 |
Real period |
R |
9.4239692627926 |
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 |
54825f1 |
Quadratic twists by: 5 |