Atkin-Lehner |
2+ 3+ 5- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210h |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
189463212450 = 2 · 32 · 52 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1972,25606] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:179:1] |
Generators of the group modulo torsion |
j |
848767044423241/189463212450 |
j-invariant |
L |
3.5437935328775 |
L(r)(E,1)/r! |
Ω |
0.95110425102759 |
Real period |
R |
0.93149450468947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630n2 |
Quadratic twists by: -3 |