Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bv |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2396302734375 = -1 · 38 · 59 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3258,19791] |
[a1,a2,a3,a4,a6] |
Generators |
[-2030:6707:343] |
Generators of the group modulo torsion |
j |
2685619/1683 |
j-invariant |
L |
8.053470516322 |
L(r)(E,1)/r! |
Ω |
0.50622756777559 |
Real period |
R |
7.9543974182483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14025z1 42075bz1 |
Quadratic twists by: -3 5 |