Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305j |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-33781586909765625 = -1 · 316 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74715,11825442] |
[a1,a2,a3,a4,a6] |
j |
-46126178762896154161/33781586909765625 |
j-invariant |
L |
1.3554594901559 |
L(r)(E,1)/r! |
Ω |
0.33886487253896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
68880by3 12915e4 21525i3 30135e3 |
Quadratic twists by: -4 -3 5 -7 |