Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
900d |
Isogeny class |
Conductor |
900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-125971200 = -1 · 28 · 39 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,740] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-54:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
2.3474457037034 |
L(r)(E,1)/r! |
Ω |
1.7136269959097 |
Real period |
R |
0.11415580857184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3600bg1 14400bb1 300a1 900f1 |
Quadratic twists by: -4 8 -3 5 |