Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650dt |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4765800000000 = -1 · 29 · 3 · 58 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4112,27392] |
[a1,a2,a3,a4,a6] |
Generators |
[16:304:1] |
Generators of the group modulo torsion |
j |
19684137695/12200448 |
j-invariant |
L |
12.883266731195 |
L(r)(E,1)/r! |
Ω |
0.47674724931112 |
Real period |
R |
1.5012924396324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650o1 |
Quadratic twists by: 5 |