Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
13780a |
Isogeny class |
Conductor |
13780 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1488 |
Modular degree for the optimal curve |
Δ |
-881920 = -1 · 28 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 3 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,62] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
-5256144/3445 |
j-invariant |
L |
5.0337351896578 |
L(r)(E,1)/r! |
Ω |
2.5916059852177 |
Real period |
R |
1.9423227212661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55120i1 124020k1 68900f1 |
Quadratic twists by: -4 -3 5 |