Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bq |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-72556425216000000 = -1 · 218 · 36 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7200,-12960000] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3008:1] |
Generators of the group modulo torsion |
j |
10076296384799/17713971000000 |
j-invariant |
L |
6.7067632451217 |
L(r)(E,1)/r! |
Ω |
0.16058486537159 |
Real period |
R |
1.7401918134511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510q2 |
Quadratic twists by: -4 |