Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158bk |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239360 |
Modular degree for the optimal curve |
Δ |
-52653017164668 = -1 · 22 · 3 · 179 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8086,-208032] |
[a1,a2,a3,a4,a6] |
Generators |
[5537776803141708301512:-107123978523953043107601:16659370914506367488] |
Generators of the group modulo torsion |
j |
493039/444 |
j-invariant |
L |
12.279651485611 |
L(r)(E,1)/r! |
Ω |
0.34640457691767 |
Real period |
R |
35.448871936824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64158be1 |
Quadratic twists by: 17 |