Atkin-Lehner |
2+ 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630r |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1346611972608000 = 212 · 312 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38655,-2322675] |
[a1,a2,a3,a4,a6] |
j |
8762328611351281/1847204352000 |
j-invariant |
L |
1.3822248394104 |
L(r)(E,1)/r! |
Ω |
0.34555621165015 |
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 |
21210bd1 |
Quadratic twists by: -3 |