Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048w |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-451459120752 = -1 · 24 · 37 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 5 -3 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1491,-23537] |
[a1,a2,a3,a4,a6] |
Generators |
[14:9:1] |
Generators of the group modulo torsion |
j |
31427449088/38705343 |
j-invariant |
L |
9.8399931647815 |
L(r)(E,1)/r! |
Ω |
0.50278252839432 |
Real period |
R |
2.4463840216078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24012f1 32016bh1 |
Quadratic twists by: -4 -3 |