Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fh |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2018508800 = -1 · 220 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,287,1183] |
[a1,a2,a3,a4,a6] |
Generators |
[87:832:1] |
Generators of the group modulo torsion |
j |
397535/308 |
j-invariant |
L |
8.1126038182877 |
L(r)(E,1)/r! |
Ω |
0.9452102586899 |
Real period |
R |
2.1457140521129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200u1 30800bu1 123200gu1 |
Quadratic twists by: -4 8 5 |