Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bm |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-1568987550 = -1 · 2 · 33 · 52 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98,1901] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:149:8] |
Generators of the group modulo torsion |
j |
-4166188105/62759502 |
j-invariant |
L |
7.6295497684053 |
L(r)(E,1)/r! |
Ω |
1.2719026384552 |
Real period |
R |
2.9992664287826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850bf1 |
Quadratic twists by: 5 |