Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040q |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
52780431777569280 = 29 · 324 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181040,-27571992] |
[a1,a2,a3,a4,a6] |
Generators |
[681082939:78939353844:50653] |
Generators of the group modulo torsion |
j |
1281680488311684488/103086780815565 |
j-invariant |
L |
7.5978982068066 |
L(r)(E,1)/r! |
Ω |
0.23263082373053 |
Real period |
R |
10.886918143471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35040m3 70080bl3 105120f3 |
Quadratic twists by: -4 8 -3 |