Atkin-Lehner |
3- 5- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24495h |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-10695512109375 = -1 · 36 · 58 · 232 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4843,-204319] |
[a1,a2,a3,a4,a6] |
Generators |
[1430:16531:8] |
Generators of the group modulo torsion |
j |
-12558512596542121/10695512109375 |
j-invariant |
L |
8.5744041400701 |
L(r)(E,1)/r! |
Ω |
0.27624531209915 |
Real period |
R |
1.2932955728905 |
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 |
73485h1 122475g1 |
Quadratic twists by: -3 5 |