Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1290i |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112 |
Modular degree for the optimal curve |
Δ |
-7740 = -1 · 22 · 32 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2,-4] |
[a1,a2,a3,a4,a6] |
j |
1685159/7740 |
j-invariant |
L |
2.1008244538599 |
L(r)(E,1)/r! |
Ω |
2.1008244538599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10320x1 41280h1 3870v1 6450z1 |
Quadratic twists by: -4 8 -3 5 |