Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300i |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
-12210800 = -1 · 24 · 52 · 73 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418,3437] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7:1] |
Generators of the group modulo torsion |
j |
-20240961280/30527 |
j-invariant |
L |
3.8147171554211 |
L(r)(E,1)/r! |
Ω |
2.2521132289501 |
Real period |
R |
0.56461299047767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300p1 |
Quadratic twists by: 5 |