Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1290g |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
72562500 = 22 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108,118] |
[a1,a2,a3,a4,a6] |
j |
137467988281/72562500 |
j-invariant |
L |
1.7047443335329 |
L(r)(E,1)/r! |
Ω |
1.7047443335329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10320v1 41280d1 3870s1 6450w1 |
Quadratic twists by: -4 8 -3 5 |