Atkin-Lehner |
2+ 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090c |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62366796972150 = -1 · 2 · 3 · 52 · 114 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12633,660387] |
[a1,a2,a3,a4,a6] |
Generators |
[31:532:1] |
Generators of the group modulo torsion |
j |
-222995918757275929/62366796972150 |
j-invariant |
L |
3.1661587783565 |
L(r)(E,1)/r! |
Ω |
0.59062075856086 |
Real period |
R |
0.67009132604637 |
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 |
72270bi3 120450cb3 |
Quadratic twists by: -3 5 |