Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600dh |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6881280000 = -1 · 219 · 3 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280033,-57131137] |
[a1,a2,a3,a4,a6] |
Generators |
[5178721835:102420754464:6331625] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
6.314306334157 |
L(r)(E,1)/r! |
Ω |
0.10376887931144 |
Real period |
R |
15.212427791587 |
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 |
33600fv1 1050d1 100800gl1 33600s2 |
Quadratic twists by: -4 8 -3 5 |