Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600b |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2326528000000 = 221 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12833,550463] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:800:1] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
7.8370595459736 |
L(r)(E,1)/r! |
Ω |
0.82219917231659 |
Real period |
R |
2.3829565245007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cl1 3550b1 4544c1 |
Quadratic twists by: -4 8 5 |