Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244z |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6381939146467248 = -1 · 24 · 37 · 72 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1281180,-558179183] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:27873:1] |
Generators of the group modulo torsion |
j |
-19939150548944896000/547148417907 |
j-invariant |
L |
6.6335419542475 |
L(r)(E,1)/r! |
Ω |
0.070952271931646 |
Real period |
R |
3.8955423680386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748o1 |
Quadratic twists by: -3 |