Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gn |
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 |
[613:2700:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
7.1861346196613 |
L(r)(E,1)/r! |
Ω |
0.43257834436244 |
Real period |
R |
2.0765413691697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400j2 15600bj2 12480bv2 |
Quadratic twists by: -4 8 5 |