Atkin-Lehner |
2- 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504bc |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-2.6398369944539E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5387120,4877505984] |
[a1,a2,a3,a4,a6] |
j |
-4221179243287843088881/64449145372409856 |
j-invariant |
L |
0.69969372754202 |
L(r)(E,1)/r! |
Ω |
0.17492364943607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438l1 |
Quadratic twists by: -4 |