Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350h |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
303063824000000 = 210 · 56 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17176,-223002] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:666:1] [-87:827:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
4.8578865806017 |
L(r)(E,1)/r! |
Ω |
0.44440847922844 |
Real period |
R |
1.3663911715411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254f1 8050i1 |
Quadratic twists by: 5 -7 |