Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880u |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-34947072000 = -1 · 217 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,813,-1134] |
[a1,a2,a3,a4,a6] |
Generators |
[57:480:1] |
Generators of the group modulo torsion |
j |
537367797/316000 |
j-invariant |
L |
6.9185265012054 |
L(r)(E,1)/r! |
Ω |
0.68209124390869 |
Real period |
R |
0.42262958237139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7110c1 56880p1 |
Quadratic twists by: -4 -3 |