Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210m |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
-7682902957082450160 = -1 · 24 · 318 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9001472,-10399461456] |
[a1,a2,a3,a4,a6] |
j |
-685608435156667567609/65303597625840 |
j-invariant |
L |
1.5688852766898 |
L(r)(E,1)/r! |
Ω |
0.043580146634299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030k1 |
Quadratic twists by: -7 |