Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
63200g |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5056000000 = 212 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -2 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,-45263] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:8:1] [-27:4:1] |
Generators of the group modulo torsion |
j |
24897088/79 |
j-invariant |
L |
7.7928000598547 |
L(r)(E,1)/r! |
Ω |
0.67987958789936 |
Real period |
R |
2.8655074363693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200m1 126400s1 2528c1 |
Quadratic twists by: -4 8 5 |