Atkin-Lehner |
2+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504c |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-107720704 = -1 · 212 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 0 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248,1584] |
[a1,a2,a3,a4,a6] |
Generators |
[20:68:1] |
Generators of the group modulo torsion |
j |
-411830784/26299 |
j-invariant |
L |
4.2055882628114 |
L(r)(E,1)/r! |
Ω |
1.8513159218825 |
Real period |
R |
0.56791877241006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504f1 99008bv1 |
Quadratic twists by: -4 8 |