Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800a |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-292464640000000 = -1 · 217 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15700,-322000] |
[a1,a2,a3,a4,a6] |
Generators |
[3989:252063:1] |
Generators of the group modulo torsion |
j |
208974222/142805 |
j-invariant |
L |
5.1487612337269 |
L(r)(E,1)/r! |
Ω |
0.30995199655476 |
Real period |
R |
8.3057397451176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cf4 2600j4 4160d4 |
Quadratic twists by: -4 8 5 |