Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bw |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
60516574977600 = 26 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31017,2068976] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1960:1] [-35:1764:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
10.574233214846 |
L(r)(E,1)/r! |
Ω |
0.62436710813061 |
Real period |
R |
4.2339807291089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560bt1 23520bg1 10080m1 |
Quadratic twists by: -4 -3 -7 |