Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400r |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
759071250000 = 24 · 36 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2283,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:175:1] |
Generators of the group modulo torsion |
j |
5266130944/3036285 |
j-invariant |
L |
4.0580697959821 |
L(r)(E,1)/r! |
Ω |
0.76491110034131 |
Real period |
R |
0.66316036483934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bu1 |
Quadratic twists by: 5 |