Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960g |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
573850485600000000 = 211 · 3 · 58 · 72 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-466480,-116933600] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:1500:1] |
Generators of the group modulo torsion |
j |
5481428784491046242/280200432421875 |
j-invariant |
L |
5.1095534572613 |
L(r)(E,1)/r! |
Ω |
0.1832603730788 |
Real period |
R |
1.7425867125206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480bd3 |
Quadratic twists by: -4 |