Atkin-Lehner |
3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475d |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
81666609375 = 3 · 56 · 134 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24488,-1485094] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:52:1] [181:140:1] |
Generators of the group modulo torsion |
j |
103935699753913/5226663 |
j-invariant |
L |
5.7632727135345 |
L(r)(E,1)/r! |
Ω |
0.38164751908406 |
Real period |
R |
15.101035445948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2379b3 |
Quadratic twists by: 5 |