Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574r |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-1006425172368 = -1 · 24 · 39 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3897,105004] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4026:1] [32:-132:1] |
Generators of the group modulo torsion |
j |
-2047314227/314928 |
j-invariant |
L |
6.9461858645241 |
L(r)(E,1)/r! |
Ω |
0.84724431924419 |
Real period |
R |
0.075912619679766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fj1 35574f1 35574ci1 |
Quadratic twists by: -3 -7 -11 |