Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3075b |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
-27675 = -1 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:0:1] |
Generators of the group modulo torsion |
j |
1310720/1107 |
j-invariant |
L |
2.1490070680897 |
L(r)(E,1)/r! |
Ω |
2.067733219502 |
Real period |
R |
1.0393057710836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200cv1 9225v1 3075n1 126075t1 |
Quadratic twists by: -4 -3 5 41 |