Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bg |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1667738914296875000 = -1 · 23 · 510 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,263145,-34139353] |
[a1,a2,a3,a4,a6] |
Generators |
[3783:61220:27] |
Generators of the group modulo torsion |
j |
3196010817/2645000 |
j-invariant |
L |
8.579854727469 |
L(r)(E,1)/r! |
Ω |
0.14724576486605 |
Real period |
R |
4.8557450504285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270h2 56350bf2 |
Quadratic twists by: 5 -7 |