Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-30371112124416 = -1 · 215 · 39 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7764,31120] |
[a1,a2,a3,a4,a6] |
Generators |
[2:216:1] |
Generators of the group modulo torsion |
j |
2166720184/1271403 |
j-invariant |
L |
6.595871697798 |
L(r)(E,1)/r! |
Ω |
0.4007828494503 |
Real period |
R |
1.0285918748149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999661029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992eo2 62496ca2 41664ek2 |
Quadratic twists by: -4 8 -3 |