Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59826b |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-328068554112 = -1 · 27 · 32 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 3 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-848,28800] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:200:1] |
Generators of the group modulo torsion |
j |
-13997521/67968 |
j-invariant |
L |
5.8361810503862 |
L(r)(E,1)/r! |
Ω |
0.83637109251668 |
Real period |
R |
3.4889901758522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354f1 |
Quadratic twists by: 13 |