Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bv |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-27367547145312500 = -1 · 22 · 58 · 76 · 533 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16563,8000117] |
[a1,a2,a3,a4,a6] |
Generators |
[26548:531851:64] |
Generators of the group modulo torsion |
j |
-273359449/14887700 |
j-invariant |
L |
13.720835906626 |
L(r)(E,1)/r! |
Ω |
0.3103289295084 |
Real period |
R |
5.5267308409726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970q1 2650h1 |
Quadratic twists by: 5 -7 |