Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856o |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-21545975808 = -1 · 215 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,-7056] |
[a1,a2,a3,a4,a6] |
Generators |
[26:74:1] |
Generators of the group modulo torsion |
j |
-128787625/5260248 |
j-invariant |
L |
3.1521630099744 |
L(r)(E,1)/r! |
Ω |
0.52844119295634 |
Real period |
R |
2.9825106861369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2982e1 95424cd1 71568bf1 |
Quadratic twists by: -4 8 -3 |