Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bj |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6.0441806658073E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5732658,5415249492] |
[a1,a2,a3,a4,a6] |
Generators |
[176337:73953198:1] |
Generators of the group modulo torsion |
j |
-1184052061112257/34349180544 |
j-invariant |
L |
5.9826219272127 |
L(r)(E,1)/r! |
Ω |
0.16229172322674 |
Real period |
R |
4.6079228566492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138bd1 2142f1 |
Quadratic twists by: -3 17 |