Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480ce |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2453667840 = 222 · 32 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,-9215] |
[a1,a2,a3,a4,a6] |
j |
273359449/9360 |
j-invariant |
L |
1.7641922788584 |
L(r)(E,1)/r! |
Ω |
0.8820961394292 |
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 |
12480bi1 3120u1 37440ed1 62400gc1 |
Quadratic twists by: -4 8 -3 5 |