Atkin-Lehner |
2+ 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34968d |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7492663296 = 211 · 34 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1912,31280] |
[a1,a2,a3,a4,a6] |
j |
377645701106/3658527 |
j-invariant |
L |
2.6528987924996 |
L(r)(E,1)/r! |
Ω |
1.326449396247 |
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 |
69936a2 104904m2 |
Quadratic twists by: -4 -3 |