Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198d |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1861200 |
Modular degree for the optimal curve |
Δ |
-1.1178076065548E+20 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,805486,-425491660] |
[a1,a2,a3,a4,a6] |
Generators |
[633380:45403886:125] |
Generators of the group modulo torsion |
j |
24071585634800534327/46555918640349184 |
j-invariant |
L |
7.8724423508834 |
L(r)(E,1)/r! |
Ω |
0.097900557298163 |
Real period |
R |
2.6804213609407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198q1 |
Quadratic twists by: -7 |