Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270bi |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2370817350 = 2 · 310 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1927202,-1029284949] |
[a1,a2,a3,a4,a6] |
Generators |
[-3041870676:1519117231:3796416] |
Generators of the group modulo torsion |
j |
1085869627057478771929/3252150 |
j-invariant |
L |
11.184280440972 |
L(r)(E,1)/r! |
Ω |
0.12813499694025 |
Real period |
R |
10.910641812025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090c4 |
Quadratic twists by: -3 |