Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752n |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-67897393152 = -1 · 224 · 3 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1008,-2028] |
[a1,a2,a3,a4,a6] |
Generators |
[98650361446:-780642140160:3702294323] |
Generators of the group modulo torsion |
j |
27625773167/16576512 |
j-invariant |
L |
9.6742995246731 |
L(r)(E,1)/r! |
Ω |
0.64004592429918 |
Real period |
R |
15.115008403188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8094c1 |
Quadratic twists by: -4 |