Atkin-Lehner |
2- 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
64464l |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
565201044774144 = 28 · 39 · 175 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -4 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125117,-17037561] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:162:1] |
Generators of the group modulo torsion |
j |
846128230969827328/2207816581149 |
j-invariant |
L |
6.6691519862562 |
L(r)(E,1)/r! |
Ω |
0.25388572921074 |
Real period |
R |
1.4593512004521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16116a1 |
Quadratic twists by: -4 |