Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686b |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-3.7973253337637E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 5 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-646090,-357839516] |
[a1,a2,a3,a4,a6] |
Generators |
[1240:26758:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
3.9063248157201 |
L(r)(E,1)/r! |
Ω |
0.080355174091381 |
Real period |
R |
2.0255513827175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bd1 3822r1 |
Quadratic twists by: -7 13 |