Atkin-Lehner |
2- 3+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134y |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
-1.3845214004368E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -5 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1267400,137957753] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:7965:1] |
Generators of the group modulo torsion |
j |
225146292125745713385599/138452140043676942336 |
j-invariant |
L |
6.8314043533988 |
L(r)(E,1)/r! |
Ω |
0.11362071083159 |
Real period |
R |
1.0366317268853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66402e1 |
Quadratic twists by: -3 |