Atkin-Lehner |
2+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950l |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-4082702126750000 = -1 · 24 · 56 · 134 · 833 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -5 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15158,2985316] |
[a1,a2,a3,a4,a6] |
Generators |
[1424:53238:1] |
Generators of the group modulo torsion |
j |
24649793075727/261292936112 |
j-invariant |
L |
2.4266348675218 |
L(r)(E,1)/r! |
Ω |
0.32322789462531 |
Real period |
R |
0.15640634337208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158c1 |
Quadratic twists by: 5 |