Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456u |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294336 |
Modular degree for the optimal curve |
Δ |
60526536553728 = 28 · 33 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -5 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425777,-106792923] |
[a1,a2,a3,a4,a6] |
j |
118045914112/837 |
j-invariant |
L |
0.37379552747462 |
L(r)(E,1)/r! |
Ω |
0.18689776374905 |
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 |
72912w1 109368y1 36456w1 |
Quadratic twists by: -4 -3 -7 |