Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2925m |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
6766814925 = 36 · 52 · 135 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-885,-9329] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:165:8] |
Generators of the group modulo torsion |
j |
4206161920/371293 |
j-invariant |
L |
5.8814767065566 |
L(r)(E,1)/r! |
Ω |
0.8802468401012 |
Real period |
R |
1.3363244123388 |
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 |
46800dw1 325e1 2925r2 38025br1 |
Quadratic twists by: -4 -3 5 13 |