Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1290l |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-13932000 = -1 · 25 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 -5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45,195] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-52:1] |
Generators of the group modulo torsion |
j |
-10091699281/13932000 |
j-invariant |
L |
3.2634950299258 |
L(r)(E,1)/r! |
Ω |
2.008973289253 |
Real period |
R |
0.054148638135773 |
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 |
10320bh1 41280be1 3870e1 6450l1 |
Quadratic twists by: -4 8 -3 5 |