Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920y |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3621613731840 = 224 · 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72296,-7457424] |
[a1,a2,a3,a4,a6] |
Generators |
[199880:2490653:512] |
Generators of the group modulo torsion |
j |
10202640382603369/884183040 |
j-invariant |
L |
6.0910612652509 |
L(r)(E,1)/r! |
Ω |
0.2911539893343 |
Real period |
R |
10.460205638826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990g1 |
Quadratic twists by: -4 |