Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520z |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12083904 |
Modular degree for the optimal curve |
Δ |
-5.7548463373042E+23 |
Discriminant |
Eigenvalues |
2- -2 5- 0 5 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2650840,36535399188] |
[a1,a2,a3,a4,a6] |
Generators |
[-2282:175232:1] |
Generators of the group modulo torsion |
j |
-143186041/40000000 |
j-invariant |
L |
5.5358766501839 |
L(r)(E,1)/r! |
Ω |
0.074839187700945 |
Real period |
R |
0.88059873123605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999957268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690d1 109520l1 |
Quadratic twists by: -4 37 |