Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210cc |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
1542240 |
Modular degree for the optimal curve |
Δ |
-740184952614912000 = -1 · 215 · 36 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,225644,-3351664] |
[a1,a2,a3,a4,a6] |
j |
220399518479231/128397312000 |
j-invariant |
L |
5.0469069102853 |
L(r)(E,1)/r! |
Ω |
0.16823023039345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63210ca1 |
Quadratic twists by: -7 |