Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bh |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-2333906041068000 = -1 · 25 · 34 · 53 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,629,-2324071] |
[a1,a2,a3,a4,a6] |
Generators |
[143:774:1] |
Generators of the group modulo torsion |
j |
561612046079/47630735532000 |
j-invariant |
L |
7.5171251944623 |
L(r)(E,1)/r! |
Ω |
0.21179120143389 |
Real period |
R |
3.5493094817946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210cn1 |
Quadratic twists by: -7 |