Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cq |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
-182683866463516800 = -1 · 27 · 36 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,128007,-10536249] |
[a1,a2,a3,a4,a6] |
Generators |
[499:13088:1] |
Generators of the group modulo torsion |
j |
118484615/93312 |
j-invariant |
L |
9.8300857509606 |
L(r)(E,1)/r! |
Ω |
0.17797723248909 |
Real period |
R |
3.945161819569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bw1 79350cs1 |
Quadratic twists by: 5 -23 |