Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286x |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-22026853124407296 = -1 · 226 · 36 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 11- 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110360,-15861031] |
[a1,a2,a3,a4,a6] |
Generators |
[933:-26819:1] |
Generators of the group modulo torsion |
j |
-1228495763619656521/182040108466176 |
j-invariant |
L |
7.120550214862 |
L(r)(E,1)/r! |
Ω |
0.12990435067577 |
Real period |
R |
0.52705570393018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286c1 |
Quadratic twists by: -11 |