Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23925v |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-192755126953125 = -1 · 32 · 514 · 112 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6876,702523] |
[a1,a2,a3,a4,a6] |
Generators |
[97:926:1] |
Generators of the group modulo torsion |
j |
-2300490759601/12336328125 |
j-invariant |
L |
6.7752010434589 |
L(r)(E,1)/r! |
Ω |
0.49036708679553 |
Real period |
R |
3.4541475284025 |
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 |
71775ba2 4785b2 |
Quadratic twists by: -3 5 |