Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198t |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
1697998056832 = 27 · 72 · 115 · 412 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11- 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6148,-173104] |
[a1,a2,a3,a4,a6] |
Generators |
[-1329:3145:27] |
Generators of the group modulo torsion |
j |
524528321979753/34653021568 |
j-invariant |
L |
7.4497581451799 |
L(r)(E,1)/r! |
Ω |
0.5413911683184 |
Real period |
R |
1.376039836095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198g1 |
Quadratic twists by: -7 |