Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680h |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7915424720 = 24 · 5 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-555,-2470] |
[a1,a2,a3,a4,a6] |
Generators |
[6864902:53687787:97336] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
10.600235517047 |
L(r)(E,1)/r! |
Ω |
1.0206552693012 |
Real period |
R |
10.385715754593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840n1 2320c1 |
Quadratic twists by: -4 -7 |