Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600m |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
418500000000 = 28 · 33 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,68750] |
[a1,a2,a3,a4,a6] |
Generators |
[89:688:1] |
Generators of the group modulo torsion |
j |
314928/31 |
j-invariant |
L |
7.0775557509079 |
L(r)(E,1)/r! |
Ω |
0.91771884337812 |
Real period |
R |
3.8560588597519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bk1 111600n1 111600p1 |
Quadratic twists by: -4 -3 5 |