Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680y |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
53791948800 = 222 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-987,4234] |
[a1,a2,a3,a4,a6] |
j |
961504803/486400 |
j-invariant |
L |
3.9610777942368 |
L(r)(E,1)/r! |
Ω |
0.99026944855921 |
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 |
1710m1 54720cu1 13680w1 68400dn1 |
Quadratic twists by: -4 8 -3 5 |