Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574cr |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-3593738644062336 = -1 · 27 · 35 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1011865,-391865671] |
[a1,a2,a3,a4,a6] |
j |
-991656390179/31104 |
j-invariant |
L |
5.2684897076973 |
L(r)(E,1)/r! |
Ω |
0.075264138681267 |
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 |
106722cc1 35574bn1 35574w1 |
Quadratic twists by: -3 -7 -11 |