Atkin-Lehner |
3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075cl |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-169285475390625 = -1 · 36 · 58 · 112 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 11- 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10195,-487178] |
[a1,a2,a3,a4,a6] |
Generators |
[44:190:1] |
Generators of the group modulo torsion |
j |
411564375/594473 |
j-invariant |
L |
4.3591390423774 |
L(r)(E,1)/r! |
Ω |
0.30378419919564 |
Real period |
R |
0.79719219065579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675m1 42075bg1 |
Quadratic twists by: -3 5 |