Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400bk |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7472485612800000000 = -1 · 214 · 312 · 58 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162833,133983537] |
[a1,a2,a3,a4,a6] |
j |
-74605986640/1167575877 |
j-invariant |
L |
1.5875668084743 |
L(r)(E,1)/r! |
Ω |
0.19844585102337 |
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 |
62400hr1 3900m1 62400ct1 |
Quadratic twists by: -4 8 5 |