Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424n |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
458449420290624 = 26 · 36 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34014,-2172456] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2548:1] |
Generators of the group modulo torsion |
j |
68003243639904448/7163272192041 |
j-invariant |
L |
3.1385710616866 |
L(r)(E,1)/r! |
Ω |
0.3539425577962 |
Real period |
R |
2.9558196121133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11424s1 22848cs2 34272t1 79968cv1 |
Quadratic twists by: -4 8 -3 -7 |