Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800b |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-127440000000 = -1 · 210 · 33 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4008,100512] |
[a1,a2,a3,a4,a6] |
Generators |
[22:150:1] |
Generators of the group modulo torsion |
j |
-445138564/7965 |
j-invariant |
L |
5.8855360636527 |
L(r)(E,1)/r! |
Ω |
1.044007378288 |
Real period |
R |
1.4093617023456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400f1 14160g1 |
Quadratic twists by: -4 5 |