Atkin-Lehner |
5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
61985g |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44880 |
Modular degree for the optimal curve |
Δ |
-1637085835 = -1 · 5 · 76 · 112 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 11+ 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,1952] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:16:1] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
4.5392797775478 |
L(r)(E,1)/r! |
Ω |
1.2032283233437 |
Real period |
R |
1.8862919404926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1265a1 |
Quadratic twists by: -7 |