Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
43452a |
Isogeny class |
Conductor |
43452 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
902016 |
Modular degree for the optimal curve |
Δ |
-4350113475175570176 = -1 · 28 · 33 · 173 · 716 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 3 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,235056,90253444] |
[a1,a2,a3,a4,a6] |
Generators |
[1340:53022:1] |
Generators of the group modulo torsion |
j |
207794480176889856/629356694903873 |
j-invariant |
L |
4.1382140352939 |
L(r)(E,1)/r! |
Ω |
0.17319065205713 |
Real period |
R |
5.9734950849435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43452b2 |
Quadratic twists by: -3 |