Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664bi |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
57664 = 26 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 0 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,31] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
3.6354648060576 |
L(r)(E,1)/r! |
Ω |
3.4216176252896 |
Real period |
R |
1.0624988541137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664k1 14416l1 |
Quadratic twists by: -4 8 |