Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600cj |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
85455712800000000 = 211 · 313 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-820875,-285916250] |
[a1,a2,a3,a4,a6] |
Generators |
[-63530:6678:125] |
Generators of the group modulo torsion |
j |
104890772690/146529 |
j-invariant |
L |
7.1285314350497 |
L(r)(E,1)/r! |
Ω |
0.15862320890919 |
Real period |
R |
7.4900045925064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200q1 120600l1 |
Quadratic twists by: -3 5 |