Atkin-Lehner |
3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15453b |
Isogeny class |
Conductor |
15453 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-285087809421531 = -1 · 39 · 175 · 1012 |
Discriminant |
Eigenvalues |
-2 3+ 1 -4 -3 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4563,803648] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:688:1] [-14:858:1] |
Generators of the group modulo torsion |
j |
533806460928/14483961257 |
j-invariant |
L |
3.5452854933828 |
L(r)(E,1)/r! |
Ω |
0.41211638398155 |
Real period |
R |
0.43013158796697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15453a1 |
Quadratic twists by: -3 |