Atkin-Lehner |
19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35131d |
Isogeny class |
Conductor |
35131 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-98126518609627 = -1 · 192 · 437 |
Discriminant |
Eigenvalues |
0 2 2 4 -5 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1233,-476717] |
[a1,a2,a3,a4,a6] |
Generators |
[2314:39185:8] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
8.0953966465461 |
L(r)(E,1)/r! |
Ω |
0.28048849891719 |
Real period |
R |
7.2154443745446 |
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 |
817a1 |
Quadratic twists by: -43 |