Atkin-Lehner |
5+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52325o |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
6770364453125 = 58 · 73 · 133 · 23 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 5 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25325,1546156] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1137:1] |
Generators of the group modulo torsion |
j |
114961401114624/433303325 |
j-invariant |
L |
3.5363820380938 |
L(r)(E,1)/r! |
Ω |
0.75222742689518 |
Real period |
R |
0.261178550207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465b1 |
Quadratic twists by: 5 |