Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25560b |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-331257600 = -1 · 28 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[15:72:1] |
Generators of the group modulo torsion |
j |
2122416/1775 |
j-invariant |
L |
5.0842135433207 |
L(r)(E,1)/r! |
Ω |
0.94641080006572 |
Real period |
R |
1.3430250222651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120k1 2840e1 127800bj1 |
Quadratic twists by: -4 -3 5 |