Atkin-Lehner |
2+ 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040i |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
126976 |
Modular degree for the optimal curve |
Δ |
16461440000 = 210 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18587,-975334] |
[a1,a2,a3,a4,a6] |
Generators |
[227:2550:1] |
Generators of the group modulo torsion |
j |
693508282704324/16075625 |
j-invariant |
L |
6.5534028351467 |
L(r)(E,1)/r! |
Ω |
0.4088818509801 |
Real period |
R |
2.0034524593004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520d1 |
Quadratic twists by: -4 |