Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460m |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3566592 |
Modular degree for the optimal curve |
Δ |
-6.6119006016812E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2211888,4111996813] |
[a1,a2,a3,a4,a6] |
Generators |
[6839:-555750:1] |
Generators of the group modulo torsion |
j |
-102604308689129046016/566863906179796875 |
j-invariant |
L |
2.9366220512998 |
L(r)(E,1)/r! |
Ω |
0.11541049535658 |
Real period |
R |
1.0602090542926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14820h1 |
Quadratic twists by: -3 |