Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200r |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-15800000000 = -1 · 29 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 0 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,6088] |
[a1,a2,a3,a4,a6] |
Generators |
[54:394:1] |
Generators of the group modulo torsion |
j |
-5000/79 |
j-invariant |
L |
7.3109839311267 |
L(r)(E,1)/r! |
Ω |
1.0482430729179 |
Real period |
R |
3.4872560188963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200u1 126400cm1 63200b1 |
Quadratic twists by: -4 8 5 |