Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880t |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-13651200 = -1 · 28 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 -1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-262] |
[a1,a2,a3,a4,a6] |
Generators |
[14:40:1] |
Generators of the group modulo torsion |
j |
-4000752/1975 |
j-invariant |
L |
7.0695413933778 |
L(r)(E,1)/r! |
Ω |
0.82786829215191 |
Real period |
R |
2.1348629548004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14220a1 56880y1 |
Quadratic twists by: -4 -3 |