Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290m |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
324480 |
Modular degree for the optimal curve |
Δ |
-2675596764880 = -1 · 24 · 5 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -4 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50028,4303418] |
[a1,a2,a3,a4,a6] |
j |
-16974767641/3280 |
j-invariant |
L |
1.5708652472651 |
L(r)(E,1)/r! |
Ω |
0.78543263409705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69290t1 |
Quadratic twists by: 13 |