Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816cw |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
5169628873728 = 210 · 36 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11- -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231737,-43015137] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:9:1] |
Generators of the group modulo torsion |
j |
1344038690471072512/5048465697 |
j-invariant |
L |
11.732816684404 |
L(r)(E,1)/r! |
Ω |
0.21759587157543 |
Real period |
R |
1.7973405767725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816f1 22704u1 |
Quadratic twists by: -4 8 |