Atkin-Lehner |
2- 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270w |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-3112805039040 = -1 · 26 · 39 · 5 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2482,69661] |
[a1,a2,a3,a4,a6] |
j |
85941272997/158146880 |
j-invariant |
L |
6.5916602845401 |
L(r)(E,1)/r! |
Ω |
0.54930502358445 |
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 |
63270b1 |
Quadratic twists by: -3 |