Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552t |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
521228288 = 212 · 74 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 3 -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-3116] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:14:1] [-10:8:1] |
Generators of the group modulo torsion |
j |
765625/53 |
j-invariant |
L |
6.8505952752592 |
L(r)(E,1)/r! |
Ω |
1.0666805321664 |
Real period |
R |
0.5351957989198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597a1 41552bi1 |
Quadratic twists by: -4 -7 |