Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350q |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1478290500 = 22 · 35 · 53 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-505,-4175] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:25:1] |
Generators of the group modulo torsion |
j |
9393931/972 |
j-invariant |
L |
4.0143762771948 |
L(r)(E,1)/r! |
Ω |
1.0135783344608 |
Real period |
R |
1.980298977744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79350dt1 79350p1 |
Quadratic twists by: 5 -23 |