Atkin-Lehner |
2+ 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134i |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2.4749864066138E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-541649,-2398519132] |
[a1,a2,a3,a4,a6] |
j |
-17574233671173337223689/2474986406613787551744 |
j-invariant |
L |
0.64341367366721 |
L(r)(E,1)/r! |
Ω |
0.064341367366722 |
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 |
66402z1 |
Quadratic twists by: -3 |