Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608q |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
64195343424 = 26 · 38 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1281,-12760] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:34:1] |
Generators of the group modulo torsion |
j |
4982686912/1375929 |
j-invariant |
L |
3.4834329624858 |
L(r)(E,1)/r! |
Ω |
0.81462056859069 |
Real period |
R |
2.1380708714586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998406634 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112608v1 37536p1 |
Quadratic twists by: -4 -3 |