Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300p |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-141093750000 = -1 · 24 · 3 · 510 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1042,-12963] |
[a1,a2,a3,a4,a6] |
Generators |
[468775:3292499:15625] |
Generators of the group modulo torsion |
j |
800000/903 |
j-invariant |
L |
5.7920109055506 |
L(r)(E,1)/r! |
Ω |
0.55727772448689 |
Real period |
R |
10.393401073926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bz1 |
Quadratic twists by: 5 |