Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810t |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
627690000 = 24 · 3 · 54 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1341,-18975] |
[a1,a2,a3,a4,a6] |
j |
266704465155409/627690000 |
j-invariant |
L |
4.7342734851522 |
L(r)(E,1)/r! |
Ω |
0.7890455808587 |
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 |
102480x1 38430x1 64050a1 89670br1 |
Quadratic twists by: -4 -3 5 -7 |