Atkin-Lehner |
2- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
65650q |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1150464 |
Modular degree for the optimal curve |
Δ |
-144233050000000 = -1 · 27 · 58 · 134 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 6 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-307938,-65800508] |
[a1,a2,a3,a4,a6] |
Generators |
[2622:129664:1] |
Generators of the group modulo torsion |
j |
-206677704154610521/9230915200 |
j-invariant |
L |
9.1319372002415 |
L(r)(E,1)/r! |
Ω |
0.10133338881748 |
Real period |
R |
3.2184911420177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130e1 |
Quadratic twists by: 5 |