Atkin-Lehner |
3- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42705i |
Isogeny class |
Conductor |
42705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-205190649495 = -1 · 39 · 5 · 134 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1341,-11192] |
[a1,a2,a3,a4,a6] |
Generators |
[1043610344:-8930348860:27270901] |
Generators of the group modulo torsion |
j |
365679263951/281468655 |
j-invariant |
L |
8.0737987462638 |
L(r)(E,1)/r! |
Ω |
0.55883494076877 |
Real period |
R |
14.447555364318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14235a1 |
Quadratic twists by: -3 |