Atkin-Lehner |
2+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530b |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6607901521000000 = -1 · 26 · 56 · 136 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41401,-2183478] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-3212:1] |
Generators of the group modulo torsion |
j |
1625964918479/1369000000 |
j-invariant |
L |
2.5578571593189 |
L(r)(E,1)/r! |
Ω |
0.23305750848276 |
Real period |
R |
1.371902355584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
370d2 |
Quadratic twists by: 13 |