Atkin-Lehner |
2+ 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99760a |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
-99760 = -1 · 24 · 5 · 29 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 2 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7051,-230256] |
[a1,a2,a3,a4,a6] |
Generators |
[6832240:16128808:68921] |
Generators of the group modulo torsion |
j |
-2423357378627584/6235 |
j-invariant |
L |
3.2364055413083 |
L(r)(E,1)/r! |
Ω |
0.260496413073 |
Real period |
R |
12.42399272735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49880b1 |
Quadratic twists by: -4 |