Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bi |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
61321986854912 = 212 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 7- 3 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,1028784] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1296:1] |
Generators of the group modulo torsion |
j |
765625/53 |
j-invariant |
L |
9.0214764154513 |
L(r)(E,1)/r! |
Ω |
0.61113184887951 |
Real period |
R |
3.6904787534766 |
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 |
2597c1 41552t1 |
Quadratic twists by: -4 -7 |