Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175t |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1864206298828125 = 35 · 512 · 7 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-222438,-40344633] |
[a1,a2,a3,a4,a6] |
j |
77898797352172441/119309203125 |
j-invariant |
L |
2.1985545596021 |
L(r)(E,1)/r! |
Ω |
0.21985545595965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105525j2 7035d2 |
Quadratic twists by: -3 5 |