Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350dr |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-2349329558430000 = -1 · 24 · 3 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6337,-2323383] |
[a1,a2,a3,a4,a6] |
Generators |
[14856:1803339:1] |
Generators of the group modulo torsion |
j |
575/48 |
j-invariant |
L |
12.889100282857 |
L(r)(E,1)/r! |
Ω |
0.21871248509049 |
Real period |
R |
4.9109756561806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350d1 79350dq1 |
Quadratic twists by: 5 -23 |