Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890eb |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
-124488090182615040 = -1 · 217 · 33 · 5 · 73 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,88033,13656199] |
[a1,a2,a3,a4,a6] |
Generators |
[779:23158:1] |
Generators of the group modulo torsion |
j |
8147173387986459/13442186608640 |
j-invariant |
L |
12.940131041932 |
L(r)(E,1)/r! |
Ω |
0.22570297861179 |
Real period |
R |
0.16862519403645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890e1 127890dn1 |
Quadratic twists by: -3 -7 |