Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850co |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-1.7919408305278E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,461612,-163997608] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1574:1] |
Generators of the group modulo torsion |
j |
27848056351924895/45873685261512 |
j-invariant |
L |
12.861107692329 |
L(r)(E,1)/r! |
Ω |
0.11498095707664 |
Real period |
R |
3.1070622368597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049342 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116850h1 |
Quadratic twists by: 5 |