Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bf |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-4247100000000 = -1 · 28 · 33 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,99746] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:330:1] |
Generators of the group modulo torsion |
j |
-12745567728/614453125 |
j-invariant |
L |
6.9305539960822 |
L(r)(E,1)/r! |
Ω |
0.64561883576877 |
Real period |
R |
0.33546080191359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960o1 51480d1 |
Quadratic twists by: -4 -3 |