Atkin-Lehner |
2+ 5- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310q |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
240603751960 = 23 · 5 · 115 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 11- 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1657,-11539] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:89:1] |
Generators of the group modulo torsion |
j |
503617368435481/240603751960 |
j-invariant |
L |
2.9971879560119 |
L(r)(E,1)/r! |
Ω |
0.78440525855181 |
Real period |
R |
0.25473124793897 |
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 |
121550bu1 |
Quadratic twists by: 5 |