Atkin-Lehner |
2- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43700p |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-13984000 = -1 · 28 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 2 1 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] [4:14:1] |
Generators of the group modulo torsion |
j |
476656/437 |
j-invariant |
L |
7.1049629039544 |
L(r)(E,1)/r! |
Ω |
1.2214358977556 |
Real period |
R |
0.96948230043685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43700q1 |
Quadratic twists by: 5 |