Atkin-Lehner |
2- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350bb |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-21938363200000000 = -1 · 212 · 58 · 133 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- -1 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73138,10421892] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1874:1] |
Generators of the group modulo torsion |
j |
-110762637570625/56162209792 |
j-invariant |
L |
6.0138630298248 |
L(r)(E,1)/r! |
Ω |
0.35557987766766 |
Real period |
R |
0.70470136804713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51350b1 |
Quadratic twists by: 5 |