Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3075n |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-432421875 = -1 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,167,-506] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6787:1] |
Generators of the group modulo torsion |
j |
1310720/1107 |
j-invariant |
L |
3.4699828860355 |
L(r)(E,1)/r! |
Ω |
0.92471840762818 |
Real period |
R |
3.7524751939736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49200ci1 9225bd1 3075b1 126075o1 |
Quadratic twists by: -4 -3 5 41 |