Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890du |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1612085422500000 = -1 · 25 · 33 · 57 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95927,11621551] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:3824:1] [401:5924:1] |
Generators of the group modulo torsion |
j |
-30731945295267/507500000 |
j-invariant |
L |
18.270344323414 |
L(r)(E,1)/r! |
Ω |
0.47547478181438 |
Real period |
R |
0.13723383920044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890n1 18270z1 |
Quadratic twists by: -3 -7 |