Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600o |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
71200000000 = 211 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -4 -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-37088] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:46:1] |
Generators of the group modulo torsion |
j |
1488770/89 |
j-invariant |
L |
4.699475549737 |
L(r)(E,1)/r! |
Ω |
0.69904268157928 |
Real period |
R |
3.3613652453383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17800p1 35600i1 |
Quadratic twists by: -4 5 |