Atkin-Lehner |
3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4305l |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9574160715 = -1 · 34 · 5 · 73 · 413 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-44975,-3686209] |
[a1,a2,a3,a4,a6] |
j |
-10061132871167082496/9574160715 |
j-invariant |
L |
1.9670127843388 |
L(r)(E,1)/r! |
Ω |
0.16391773202823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880bn2 12915l2 21525a2 30135i2 |
Quadratic twists by: -4 -3 5 -7 |