Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400l |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-412972000000 = -1 · 28 · 56 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -1 -3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,30963] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:175:1] |
Generators of the group modulo torsion |
j |
128000/103243 |
j-invariant |
L |
4.9495030916796 |
L(r)(E,1)/r! |
Ω |
0.73783757511922 |
Real period |
R |
0.83851502891399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998517027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200k1 4816a1 |
Quadratic twists by: -4 5 |