Atkin-Lehner |
2+ 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15678b |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-39499529472 = -1 · 28 · 311 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,504,-8640] |
[a1,a2,a3,a4,a6] |
j |
19400056703/54183168 |
j-invariant |
L |
2.3624507284161 |
L(r)(E,1)/r! |
Ω |
0.59061268210402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424t1 5226e1 |
Quadratic twists by: -4 -3 |