Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270z |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
748 |
Product of Tamagawa factors cp |
deg |
40930560 |
Modular degree for the optimal curve |
Δ |
-7.0196572528967E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92951488,-530544908962] |
[a1,a2,a3,a4,a6] |
Generators |
[14629:-1121065:1] |
Generators of the group modulo torsion |
j |
-66729011196981086446628771/52739723913574218750000 |
j-invariant |
L |
5.8099710593576 |
L(r)(E,1)/r! |
Ω |
0.023513435568545 |
Real period |
R |
0.3303362867355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270cc1 |
Quadratic twists by: -11 |