Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720i |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
404091600000000 = 210 · 3 · 58 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26680,-1361600] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:140:1] |
Generators of the group modulo torsion |
j |
2051150414035684/394620703125 |
j-invariant |
L |
7.2705885598263 |
L(r)(E,1)/r! |
Ω |
0.37854658705912 |
Real period |
R |
2.4008235736644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360bh3 |
Quadratic twists by: -4 |