Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305k |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-4870853632125 = -1 · 33 · 53 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3630,65025] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1215:1] |
Generators of the group modulo torsion |
j |
1095912791/1009125 |
j-invariant |
L |
5.5788031246366 |
L(r)(E,1)/r! |
Ω |
0.5032424661062 |
Real period |
R |
0.61587311843402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4485g1 |
Quadratic twists by: 13 |