Atkin-Lehner |
2+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44968d |
Isogeny class |
Conductor |
44968 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-9.3453889749482E+20 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 11- -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13699201,19566786403] |
[a1,a2,a3,a4,a6] |
Generators |
[-2577:194326:1] [2241:11242:1] |
Generators of the group modulo torsion |
j |
-1110630234661581724877824/3650542568339131619 |
j-invariant |
L |
10.227504149283 |
L(r)(E,1)/r! |
Ω |
0.15768670208866 |
Real period |
R |
0.18426036647448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936d1 |
Quadratic twists by: -4 |