Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960q |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
50939767762560000 = 210 · 316 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151347,19891586] |
[a1,a2,a3,a4,a6] |
j |
513591322675396/68238500625 |
j-invariant |
L |
2.741377415992 |
L(r)(E,1)/r! |
Ω |
0.3426721769991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15480n2 123840ez2 10320d2 |
Quadratic twists by: -4 8 -3 |