Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490bs |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
2430718617600000 = 214 · 32 · 55 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18288313,-30104439844] |
[a1,a2,a3,a4,a6] |
j |
307903452713493241418533/1106380800000 |
j-invariant |
L |
1.4601119043228 |
L(r)(E,1)/r! |
Ω |
0.07300559521636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ej1 35490dh1 |
Quadratic twists by: -3 13 |