Atkin-Lehner |
2- 3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742o |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2798991235913502 = -1 · 2 · 3 · 7 · 239 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-236023,-44227657] |
[a1,a2,a3,a4,a6] |
Generators |
[403444:31732873:64] |
Generators of the group modulo torsion |
j |
-1454074993729622832625/2798991235913502 |
j-invariant |
L |
11.271226242812 |
L(r)(E,1)/r! |
Ω |
0.10828813390465 |
Real period |
R |
11.565057280665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107226o3 |
Quadratic twists by: -3 |