Atkin-Lehner |
2+ 3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610m |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-58463977500 = -1 · 22 · 37 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2529,50953] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-175:1] [27:-56:1] |
Generators of the group modulo torsion |
j |
-2454365649169/80197500 |
j-invariant |
L |
6.7534902051013 |
L(r)(E,1)/r! |
Ω |
1.1071181521714 |
Real period |
R |
0.38125392216809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870o1 |
Quadratic twists by: -3 |