Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856h |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-41578515143424 = -1 · 28 · 33 · 75 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24836,1529868] |
[a1,a2,a3,a4,a6] |
Generators |
[34:852:1] |
Generators of the group modulo torsion |
j |
-6618295997667664/162416074779 |
j-invariant |
L |
6.2381257965581 |
L(r)(E,1)/r! |
Ω |
0.64265911076205 |
Real period |
R |
0.5392634111143 |
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 |
11928a1 95424bn1 71568j1 |
Quadratic twists by: -4 8 -3 |