Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280ca |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-14885175014830080 = -1 · 212 · 315 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164712,-26390864] |
[a1,a2,a3,a4,a6] |
Generators |
[8300:755244:1] |
Generators of the group modulo torsion |
j |
-165505319755264/4985014995 |
j-invariant |
L |
5.7754112746905 |
L(r)(E,1)/r! |
Ω |
0.11828180461769 |
Real period |
R |
2.0344814422112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280u1 106560bk1 17760l1 |
Quadratic twists by: -4 8 -3 |