Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cl |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-620529437715750000 = -1 · 24 · 36 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-469763,-129788719] |
[a1,a2,a3,a4,a6] |
Generators |
[10033835:1710686636:343] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
8.7693251840068 |
L(r)(E,1)/r! |
Ω |
0.090894047470499 |
Real period |
R |
12.059817757982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3174d1 3450r1 |
Quadratic twists by: 5 -23 |