Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cy |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
457725082484736 = 214 · 316 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35857,2390255] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1215:1] |
Generators of the group modulo torsion |
j |
311198674303312/27937321929 |
j-invariant |
L |
11.175776743327 |
L(r)(E,1)/r! |
Ω |
0.51353811231711 |
Real period |
R |
1.3601445273435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999056169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608u1 31152e1 |
Quadratic twists by: -4 8 |