Atkin-Lehner |
5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4225m |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
274625 = 53 · 133 |
Discriminant |
Eigenvalues |
-1 2 5- 0 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
4913 |
j-invariant |
L |
3.2029663448034 |
L(r)(E,1)/r! |
Ω |
2.2106998147409 |
Real period |
R |
1.4488472489327 |
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 |
67600dl1 38025cr1 4225k1 4225j1 |
Quadratic twists by: -4 -3 5 13 |