Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305j |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2513905032937467645 = -1 · 32 · 5 · 716 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,283340,49514045] |
[a1,a2,a3,a4,a6] |
j |
2515633010871881261759/2513905032937467645 |
j-invariant |
L |
1.3554594901559 |
L(r)(E,1)/r! |
Ω |
0.16943243626948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880by5 12915e6 21525i5 30135e5 |
Quadratic twists by: -4 -3 5 -7 |