Atkin-Lehner |
3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475f |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-11556475176796875 = -1 · 315 · 57 · 132 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 0 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5176033,-4530839157] |
[a1,a2,a3,a4,a6] |
Generators |
[35226:1927171:8] |
Generators of the group modulo torsion |
j |
-981510341015120379904/739614411315 |
j-invariant |
L |
3.2131995208365 |
L(r)(E,1)/r! |
Ω |
0.050046103904802 |
Real period |
R |
8.0255985739806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11895g1 |
Quadratic twists by: 5 |