Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bk |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-442270125000 = -1 · 23 · 34 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,32031] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-220:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
7.8360611727149 |
L(r)(E,1)/r! |
Ω |
0.73997463695128 |
Real period |
R |
0.88246956735794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050k2 1254e2 |
Quadratic twists by: -3 5 |