Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bn |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-4283798063579136 = -1 · 215 · 37 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220065,-39933153] |
[a1,a2,a3,a4,a6] |
Generators |
[561:3672:1] |
Generators of the group modulo torsion |
j |
-35969026108901192/130731142077 |
j-invariant |
L |
10.454376643513 |
L(r)(E,1)/r! |
Ω |
0.11018872550029 |
Real period |
R |
2.2589763921616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072x1 37536r1 |
Quadratic twists by: -4 8 |