Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400bm |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3110023987200000000 = -1 · 227 · 33 · 58 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5380833,-4803170463] |
[a1,a2,a3,a4,a6] |
j |
-168256703745625/30371328 |
j-invariant |
L |
0.29737449492191 |
L(r)(E,1)/r! |
Ω |
0.049562416261697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400hu2 1950m2 62400dc2 |
Quadratic twists by: -4 8 5 |