Atkin-Lehner |
3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985c |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-116926875 = -1 · 33 · 54 · 132 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3,520] |
[a1,a2,a3,a4,a6] |
Generators |
[8:32:1] [-5:19:1] |
Generators of the group modulo torsion |
j |
110592/4330625 |
j-invariant |
L |
4.2056024198481 |
L(r)(E,1)/r! |
Ω |
1.4762288149679 |
Real period |
R |
0.17805515552566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23985b1 119925c1 |
Quadratic twists by: -3 5 |