Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686y |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
14394240 |
Modular degree for the optimal curve |
Δ |
-1.9433116181562E+25 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11717788,212654672570] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
1.9144401187362 |
L(r)(E,1)/r! |
Ω |
0.056307062320121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686h1 3822ba1 |
Quadratic twists by: -7 13 |