Atkin-Lehner |
2- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310z |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-46487254528000 = -1 · 212 · 53 · 11 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4673,302951] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:464:1] |
Generators of the group modulo torsion |
j |
11287510847853759/46487254528000 |
j-invariant |
L |
8.3969073727108 |
L(r)(E,1)/r! |
Ω |
0.45530250714193 |
Real period |
R |
1.0245822210991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121550a1 |
Quadratic twists by: 5 |