Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880w |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-6219828000000 = -1 · 28 · 39 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521127,144798354] |
[a1,a2,a3,a4,a6] |
Generators |
[378:1350:1] |
Generators of the group modulo torsion |
j |
-3106155396053232/1234375 |
j-invariant |
L |
6.964460712001 |
L(r)(E,1)/r! |
Ω |
0.61215751340674 |
Real period |
R |
0.94807580284594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14220d1 56880r1 |
Quadratic twists by: -4 -3 |