Atkin-Lehner |
3+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50901d |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
21552141499029 = 33 · 198 · 47 |
Discriminant |
Eigenvalues |
0 3+ 1 -3 3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12755,-503251] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:198:1] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
3.9490559638622 |
L(r)(E,1)/r! |
Ω |
0.45194290397608 |
Real period |
R |
4.3689766219091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679d1 |
Quadratic twists by: -19 |