Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870f |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-5.2778197188171E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17495892,-44897601456] |
[a1,a2,a3,a4,a6] |
Generators |
[10035671652521997898519726976543:3072956566115470814798677601399506:106472060419979548108984051] |
Generators of the group modulo torsion |
j |
-14297287761529/12740198400 |
j-invariant |
L |
3.6037512469643 |
L(r)(E,1)/r! |
Ω |
0.035589125080008 |
Real period |
R |
50.629950003867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960da1 47610bu1 79350db1 15870b1 |
Quadratic twists by: -4 -3 5 -23 |