Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225l |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
66125 = 53 · 232 |
Discriminant |
Eigenvalues |
2 2 5- -4 3 -4 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-38,103] |
[a1,a2,a3,a4,a6] |
Generators |
[26:11:8] |
Generators of the group modulo torsion |
j |
94208 |
j-invariant |
L |
11.529637456086 |
L(r)(E,1)/r! |
Ω |
3.4972891352964 |
Real period |
R |
1.6483677800218 |
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 |
119025cy1 13225n1 13225k1 |
Quadratic twists by: -3 5 -23 |