Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198o |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1616000371675124974 = 2 · 713 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-449013,98301690] |
[a1,a2,a3,a4,a6] |
Generators |
[11316:1196042:1] |
Generators of the group modulo torsion |
j |
85096329293877049/13735776518926 |
j-invariant |
L |
5.7072676816291 |
L(r)(E,1)/r! |
Ω |
0.25509807858287 |
Real period |
R |
2.7966046007383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314b1 |
Quadratic twists by: -7 |