Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450s |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
532000 |
Modular degree for the optimal curve |
Δ |
-19145424896000000 = -1 · 225 · 56 · 13 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 4 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-345213,78208531] |
[a1,a2,a3,a4,a6] |
Generators |
[439:3172:1] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
5.191492400475 |
L(r)(E,1)/r! |
Ω |
0.38803113256661 |
Real period |
R |
0.26758123071912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1378a1 |
Quadratic twists by: 5 |