Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
86900a |
Isogeny class |
Conductor |
86900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
38236000000 = 28 · 56 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1508,19988] |
[a1,a2,a3,a4,a6] |
Generators |
[59:374:1] |
Generators of the group modulo torsion |
j |
94875856/9559 |
j-invariant |
L |
6.5966274863752 |
L(r)(E,1)/r! |
Ω |
1.1194961846929 |
Real period |
R |
2.9462483119844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3476a1 |
Quadratic twists by: 5 |