Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650k |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-85649125000000 = -1 · 26 · 59 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2588,-449219] |
[a1,a2,a3,a4,a6] |
Generators |
[515:11367:1] |
Generators of the group modulo torsion |
j |
-122689385209/5481544000 |
j-invariant |
L |
12.528330227146 |
L(r)(E,1)/r! |
Ω |
0.26526531811822 |
Real period |
R |
0.65596432930823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7130c2 |
Quadratic twists by: 5 |