Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040g |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
369979008000 = 210 · 3 · 53 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43016,-3419520] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:8:1] |
Generators of the group modulo torsion |
j |
8596544625218596/361307625 |
j-invariant |
L |
6.0138134686833 |
L(r)(E,1)/r! |
Ω |
0.33150669422981 |
Real period |
R |
3.0234751292699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520v1 |
Quadratic twists by: -4 |