Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bo |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
990481396551120 = 24 · 36 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25992,-555579] |
[a1,a2,a3,a4,a6] |
Generators |
[72869940:1573091073:140608] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
6.9723072185148 |
L(r)(E,1)/r! |
Ω |
0.39701695406564 |
Real period |
R |
8.7808683576386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220b1 3420d1 |
Quadratic twists by: -3 -19 |