Atkin-Lehner |
2+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198m |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
279360 |
Modular degree for the optimal curve |
Δ |
-1934342546692864 = -1 · 28 · 72 · 113 · 415 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11+ 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30011,690288] |
[a1,a2,a3,a4,a6] |
Generators |
[547:13174:1] |
Generators of the group modulo torsion |
j |
61008428010685799/39476378503936 |
j-invariant |
L |
1.8288180975222 |
L(r)(E,1)/r! |
Ω |
0.29182031628235 |
Real period |
R |
0.62669320656829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198b1 |
Quadratic twists by: -7 |