Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dm |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1235032142400 = 26 · 38 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2793,19208] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:196:1] [-47:216:1] |
Generators of the group modulo torsion |
j |
438976/225 |
j-invariant |
L |
9.5105249103627 |
L(r)(E,1)/r! |
Ω |
0.76103332370152 |
Real period |
R |
3.124214345868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560df1 23520i1 1440l1 |
Quadratic twists by: -4 -3 -7 |