Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475l |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-210932733984375 = -1 · 3 · 58 · 13 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30501,2163523] |
[a1,a2,a3,a4,a6] |
Generators |
[6772:19091:64] |
Generators of the group modulo torsion |
j |
-200828550012481/13499694975 |
j-invariant |
L |
9.7156045689505 |
L(r)(E,1)/r! |
Ω |
0.55301624252154 |
Real period |
R |
4.3920972939278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895e1 |
Quadratic twists by: 5 |