Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175c |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
109921875 = 3 · 57 · 7 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-938000,349274625] |
[a1,a2,a3,a4,a6] |
j |
5841345907900903681/7035 |
j-invariant |
L |
1.6774962499195 |
L(r)(E,1)/r! |
Ω |
0.83874812496295 |
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 |
105525r4 7035k4 |
Quadratic twists by: -3 5 |