Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400j |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
996802560000000 = 223 · 32 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1364033,-612720063] |
[a1,a2,a3,a4,a6] |
Generators |
[3487:192400:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
4.8571486086982 |
L(r)(E,1)/r! |
Ω |
0.13969903346063 |
Real period |
R |
4.3460828685803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gn2 1950x2 12480bd2 |
Quadratic twists by: -4 8 5 |