Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880s |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-55216373760000000 = -1 · 222 · 33 · 57 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37677,10949522] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:3210:1] |
Generators of the group modulo torsion |
j |
53484623807733/499280000000 |
j-invariant |
L |
4.7926661436701 |
L(r)(E,1)/r! |
Ω |
0.25926619486917 |
Real period |
R |
4.621375866219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7110a1 56880x1 |
Quadratic twists by: -4 -3 |