Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210cr |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
948545062500 = 22 · 3 · 56 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4215,-94683] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:199:8] |
Generators of the group modulo torsion |
j |
70393838689/8062500 |
j-invariant |
L |
13.784369487194 |
L(r)(E,1)/r! |
Ω |
0.5969358112634 |
Real period |
R |
3.8486464894733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290j1 |
Quadratic twists by: -7 |