Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300r |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
1386720 |
Modular degree for the optimal curve |
Δ |
359147102300000000 = 28 · 58 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7544375,7975908750] |
[a1,a2,a3,a4,a6] |
Generators |
[1550:2450:1] [-2125:120050:1] |
Generators of the group modulo torsion |
j |
474890535155970000/3591471023 |
j-invariant |
L |
9.7941208115366 |
L(r)(E,1)/r! |
Ω |
0.27111672456996 |
Real period |
R |
0.44598898109028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300a1 |
Quadratic twists by: 5 |