Atkin-Lehner |
2+ 3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742f |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27771534 = 2 · 32 · 72 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-262,-1630] |
[a1,a2,a3,a4,a6] |
j |
1978074236377/27771534 |
j-invariant |
L |
2.3764140659194 |
L(r)(E,1)/r! |
Ω |
1.1882070329555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226bd2 |
Quadratic twists by: -3 |