Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190bq |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-1259376668675100000 = -1 · 25 · 36 · 55 · 175 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2684927,-1693539449] |
[a1,a2,a3,a4,a6] |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
2.9484320956784 |
L(r)(E,1)/r! |
Ω |
0.058968641913663 |
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 |
3910c1 |
Quadratic twists by: -3 |