Atkin-Lehner |
3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bs |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
-6.7641928513607E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 11+ 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15911625,46503768906] |
[a1,a2,a3,a4,a6] |
Generators |
[2075:-149738:1] |
Generators of the group modulo torsion |
j |
-1564515081195335680/2375354416938723 |
j-invariant |
L |
3.3005152426396 |
L(r)(E,1)/r! |
Ω |
0.081493264734269 |
Real period |
R |
1.6875194391013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925bg1 71775x1 |
Quadratic twists by: -3 5 |