Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210ca |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-6291468288000 = -1 · 215 · 36 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4605,11745] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-562:1] |
Generators of the group modulo torsion |
j |
220399518479231/128397312000 |
j-invariant |
L |
7.0272169617206 |
L(r)(E,1)/r! |
Ω |
0.45477436753019 |
Real period |
R |
0.17168995007881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210cc1 |
Quadratic twists by: -7 |