Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420u |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-314928615093750000 = -1 · 24 · 314 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79270,-28307243] |
[a1,a2,a3,a4,a6] |
Generators |
[12319:1366875:1] |
Generators of the group modulo torsion |
j |
-70265105502264064/401694662109375 |
j-invariant |
L |
4.6251285754167 |
L(r)(E,1)/r! |
Ω |
0.12757601551485 |
Real period |
R |
2.0141057469081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420bc1 |
Quadratic twists by: -7 |