Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
129800l |
Isogeny class |
Conductor |
129800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
526501250000 = 24 · 57 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5450,-150875] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:177:8] |
Generators of the group modulo torsion |
j |
71609923584/2106005 |
j-invariant |
L |
6.6771705151062 |
L(r)(E,1)/r! |
Ω |
0.55664902004856 |
Real period |
R |
2.9988242793479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25960a1 |
Quadratic twists by: 5 |