Atkin-Lehner |
2+ 5- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050i |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-42598000 = -1 · 24 · 53 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121,588] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-13:1] [-8:36:1] |
Generators of the group modulo torsion |
j |
-1548816893/340784 |
j-invariant |
L |
4.5500243069596 |
L(r)(E,1)/r! |
Ω |
1.9417029260317 |
Real period |
R |
1.1716581990885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56050r1 |
Quadratic twists by: 5 |