Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992fh |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-38420763121778688 = -1 · 215 · 38 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78324,4213456] |
[a1,a2,a3,a4,a6] |
j |
2224491881464/1608379479 |
j-invariant |
L |
1.8536835915562 |
L(r)(E,1)/r! |
Ω |
0.23171032765602 |
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 |
124992ge3 62496m2 41664do3 |
Quadratic twists by: -4 8 -3 |