Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914d |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3279360 |
Modular degree for the optimal curve |
Δ |
4.079553249235E+23 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65592960,-202155110194] |
[a1,a2,a3,a4,a6] |
Generators |
[31151263623427641937017460094293:-422668880808921838893934470947801:3308216944442889916774928989] |
Generators of the group modulo torsion |
j |
6465993709280560906177/84518638488387584 |
j-invariant |
L |
2.4555829770825 |
L(r)(E,1)/r! |
Ω |
0.053091953851382 |
Real period |
R |
46.251508918966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1378b1 |
Quadratic twists by: 13 |