Atkin-Lehner |
2+ 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71920d |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-1404687500000000 = -1 · 28 · 514 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21247,2161614] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5250:1] |
Generators of the group modulo torsion |
j |
-4143588322848336/5487060546875 |
j-invariant |
L |
6.4733484336962 |
L(r)(E,1)/r! |
Ω |
0.4331106844589 |
Real period |
R |
2.1351679722316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35960b2 |
Quadratic twists by: -4 |