Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bp |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5685120 |
Modular degree for the optimal curve |
Δ |
-1.3230144181745E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15079874,22545055964] |
[a1,a2,a3,a4,a6] |
Generators |
[3042:67936:1] |
Generators of the group modulo torsion |
j |
-329049351916207/114791256 |
j-invariant |
L |
7.6234388330064 |
L(r)(E,1)/r! |
Ω |
0.18129629044637 |
Real period |
R |
1.401653763244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686t1 49686dl1 |
Quadratic twists by: -7 13 |