Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600i |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
4581260800000000 = 215 · 58 · 713 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 2 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141633,-20208863] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:500:1] |
Generators of the group modulo torsion |
j |
613691601992/8947775 |
j-invariant |
L |
2.7369280648244 |
L(r)(E,1)/r! |
Ω |
0.24631545860865 |
Real period |
R |
2.7778687812994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999033326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600x1 56800a1 22720l1 |
Quadratic twists by: -4 8 5 |