Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cs |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1785119358360748032 = 218 · 322 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-745356,-239194384] |
[a1,a2,a3,a4,a6] |
Generators |
[146905:2817529:125] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
6.931530490392 |
L(r)(E,1)/r! |
Ω |
0.16287349111923 |
Real period |
R |
10.639439135729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fe3 1953d3 41664s3 |
Quadratic twists by: -4 8 -3 |