Atkin-Lehner |
2- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
39650i |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-527820800 = -1 · 211 · 52 · 132 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,202,51] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-57:1] |
Generators of the group modulo torsion |
j |
36450495095/21112832 |
j-invariant |
L |
4.3444483305565 |
L(r)(E,1)/r! |
Ω |
0.97969465057621 |
Real period |
R |
0.20156782932308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39650e1 |
Quadratic twists by: 5 |