Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cb |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
341381250000 = 24 · 33 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18415,-967600] |
[a1,a2,a3,a4,a6] |
Generators |
[320:5100:1] |
Generators of the group modulo torsion |
j |
43166067206895616/21336328125 |
j-invariant |
L |
7.0081903481432 |
L(r)(E,1)/r! |
Ω |
0.40984301950157 |
Real period |
R |
1.4249745257477 |
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 |
14280bj1 114240gg1 85680bf1 |
Quadratic twists by: -4 8 -3 |