Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040f |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1090492454400 = 29 · 3 · 52 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2576,-3876] |
[a1,a2,a3,a4,a6] |
Generators |
[26916:548595:64] |
Generators of the group modulo torsion |
j |
3693685451912/2129868075 |
j-invariant |
L |
7.0798386530673 |
L(r)(E,1)/r! |
Ω |
0.73043046756498 |
Real period |
R |
4.8463467554064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35040k3 70080n4 105120ba3 |
Quadratic twists by: -4 8 -3 |