Atkin-Lehner |
2- 3- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402z |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
10137600 |
Modular degree for the optimal curve |
Δ |
-1.8042650904215E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4874837,64760016557] |
[a1,a2,a3,a4,a6] |
j |
-17574233671173337223689/2474986406613787551744 |
j-invariant |
L |
3.0122379005305 |
L(r)(E,1)/r! |
Ω |
0.068459952333085 |
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 |
22134i1 |
Quadratic twists by: -3 |