Atkin-Lehner |
2- 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122100o |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-1.95481288035E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,620667,98931537] |
[a1,a2,a3,a4,a6] |
j |
52884569522176/39096257607 |
j-invariant |
L |
2.7654275139143 |
L(r)(E,1)/r! |
Ω |
0.13827149848712 |
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 |
122100bf1 |
Quadratic twists by: 5 |