Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
671956992 = 214 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97212,11666160] |
[a1,a2,a3,a4,a6] |
Generators |
[168:276:1] |
Generators of the group modulo torsion |
j |
229667553058032/1519 |
j-invariant |
L |
5.0647043587905 |
L(r)(E,1)/r! |
Ω |
1.1077185087608 |
Real period |
R |
2.2860972462053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997904972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992t2 31248c2 124992dv2 |
Quadratic twists by: -4 8 -3 |