Atkin-Lehner |
2- 3+ 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258s |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-12774663888012 = -1 · 22 · 39 · 135 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -2 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2806,161461] |
[a1,a2,a3,a4,a6] |
Generators |
[53:649:1] |
Generators of the group modulo torsion |
j |
124176813669/649020164 |
j-invariant |
L |
13.193146356832 |
L(r)(E,1)/r! |
Ω |
0.51150586361266 |
Real period |
R |
1.289637841681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102258d1 |
Quadratic twists by: -3 |