Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cf |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-18310053888000 = -1 · 217 · 37 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21452,1232079] |
[a1,a2,a3,a4,a6] |
Generators |
[77:141:1] |
Generators of the group modulo torsion |
j |
-1497547370519929/25116672000 |
j-invariant |
L |
9.4802339029987 |
L(r)(E,1)/r! |
Ω |
0.69045657444548 |
Real period |
R |
0.067305803925182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330b1 |
Quadratic twists by: -3 |