Atkin-Lehner |
2- 3+ 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170t |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-274519260 = -1 · 22 · 33 · 5 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103,661] |
[a1,a2,a3,a4,a6] |
Generators |
[22:233:8] |
Generators of the group modulo torsion |
j |
4516672077/10167380 |
j-invariant |
L |
11.585971811495 |
L(r)(E,1)/r! |
Ω |
1.2089371867422 |
Real period |
R |
2.3959002872673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170a1 |
Quadratic twists by: -3 |