Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200v |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-265302000 = -1 · 24 · 33 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-775] |
[a1,a2,a3,a4,a6] |
Generators |
[40:255:1] |
Generators of the group modulo torsion |
j |
186624/4913 |
j-invariant |
L |
5.9193681136396 |
L(r)(E,1)/r! |
Ω |
0.8435684756351 |
Real period |
R |
0.58475475363983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600k1 61200p1 61200o1 |
Quadratic twists by: -4 -3 5 |