Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bp |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-6773773230000000 = -1 · 27 · 38 · 57 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21755,-3753205] |
[a1,a2,a3,a4,a6] |
Generators |
[923:27888:1] |
Generators of the group modulo torsion |
j |
474250248658319/2821230000000 |
j-invariant |
L |
9.1343512233239 |
L(r)(E,1)/r! |
Ω |
0.21072006390739 |
Real period |
R |
0.14744311135209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210cf1 |
Quadratic twists by: -7 |