Atkin-Lehner |
2- 3+ 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630bp |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-792831240 = -1 · 23 · 39 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72362,7510321] |
[a1,a2,a3,a4,a6] |
Generators |
[139:281:1] |
Generators of the group modulo torsion |
j |
-2128915766263707/40280 |
j-invariant |
L |
10.937164326139 |
L(r)(E,1)/r! |
Ω |
1.1438716710323 |
Real period |
R |
1.5935884834829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630a1 |
Quadratic twists by: -3 |