Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ff |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
75600000000 = 210 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6133,-182363] |
[a1,a2,a3,a4,a6] |
Generators |
[2106:32375:8] |
Generators of the group modulo torsion |
j |
1594753024/4725 |
j-invariant |
L |
5.0748158590586 |
L(r)(E,1)/r! |
Ω |
0.53957617177923 |
Real period |
R |
4.7025944847831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cp1 8400ck1 100800oh1 6720cj1 |
Quadratic twists by: -4 8 -3 5 |