Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560s |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-40534895473632000 = -1 · 28 · 32 · 53 · 73 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70945,12136957] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:4335:1] |
Generators of the group modulo torsion |
j |
-154260682146128896/158339435443875 |
j-invariant |
L |
4.6260379601022 |
L(r)(E,1)/r! |
Ω |
0.33002817658847 |
Real period |
R |
0.33374047662651 |
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 |
14280bb1 114240im1 85680o1 |
Quadratic twists by: -4 8 -3 |