Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300j |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
11369531250000 = 24 · 33 · 511 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-859200,306541625] |
[a1,a2,a3,a4,a6] |
Generators |
[14340:4375:27] |
Generators of the group modulo torsion |
j |
10392086293512192/1684375 |
j-invariant |
L |
6.3973359184007 |
L(r)(E,1)/r! |
Ω |
0.56260839845883 |
Real period |
R |
0.94757086443648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300l1 13860a1 |
Quadratic twists by: -3 5 |