Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050h |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
32940253736000 = 26 · 53 · 133 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18482,931476] |
[a1,a2,a3,a4,a6] |
Generators |
[29:633:1] |
Generators of the group modulo torsion |
j |
5585651227724589/263522029888 |
j-invariant |
L |
3.0699104760366 |
L(r)(E,1)/r! |
Ω |
0.6487029029375 |
Real period |
R |
1.1830957061142 |
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 |
24050v1 |
Quadratic twists by: 5 |