Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872d |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
993898752 = 28 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:8:1] [48:272:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
6.2208023087463 |
L(r)(E,1)/r! |
Ω |
0.96531687335018 |
Real period |
R |
6.4443111691981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12936j1 103488in1 77616ch1 528d1 |
Quadratic twists by: -4 8 -3 -7 |