Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100be |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-1582393644000000 = -1 · 28 · 36 · 56 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6661933,-6620552737] |
[a1,a2,a3,a4,a6] |
Generators |
[93074:28384161:1] |
Generators of the group modulo torsion |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
9.7180227705913 |
L(r)(E,1)/r! |
Ω |
0.046986109575888 |
Real period |
R |
8.6178153312239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964c1 |
Quadratic twists by: 5 |