Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792bo |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24368228892672 = -1 · 215 · 3 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2303,-232897] |
[a1,a2,a3,a4,a6] |
Generators |
[289590:2622529:3375] |
Generators of the group modulo torsion |
j |
41206620664/743659329 |
j-invariant |
L |
9.6704941773584 |
L(r)(E,1)/r! |
Ω |
0.32779549159926 |
Real period |
R |
7.3754020610505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792j3 28896f2 |
Quadratic twists by: -4 8 |