Atkin-Lehner |
3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405bf |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
861520685445 = 36 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -2 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3087,48620] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-221:1] |
Generators of the group modulo torsion |
j |
774144/205 |
j-invariant |
L |
3.6850051789381 |
L(r)(E,1)/r! |
Ω |
0.83096844765972 |
Real period |
R |
0.36954924834119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045a1 90405bc1 |
Quadratic twists by: -3 -7 |