Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536q |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
115259289288704 = 214 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15827,566162] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:886:1] |
Generators of the group modulo torsion |
j |
296518892481/77948684 |
j-invariant |
L |
5.4644397626201 |
L(r)(E,1)/r! |
Ω |
0.55278861437959 |
Real period |
R |
4.9426124381741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942g1 63536k1 |
Quadratic twists by: -4 -19 |