Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700bi |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-244709920000 = -1 · 28 · 54 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1225,17150] |
[a1,a2,a3,a4,a6] |
j |
10800/13 |
j-invariant |
L |
1.9815063044251 |
L(r)(E,1)/r! |
Ω |
0.66050210181759 |
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 |
63700r1 1300f1 |
Quadratic twists by: 5 -7 |