Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bh |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-384739716796875 = -1 · 36 · 510 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-635625,195053906] |
[a1,a2,a3,a4,a6] |
Generators |
[456:166:1] |
Generators of the group modulo torsion |
j |
-3989321625600/54043 |
j-invariant |
L |
3.1120092995566 |
L(r)(E,1)/r! |
Ω |
0.48753767494531 |
Real period |
R |
3.1915577600296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675j1 42075cm1 |
Quadratic twists by: -3 5 |