Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300bz |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-9030000 = -1 · 24 · 3 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
800000/903 |
j-invariant |
L |
5.8477578157937 |
L(r)(E,1)/r! |
Ω |
1.2461108742991 |
Real period |
R |
1.5642689915431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300p1 |
Quadratic twists by: 5 |