Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fi |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
296352000000000 = 214 · 33 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1542833,738123537] |
[a1,a2,a3,a4,a6] |
Generators |
[1501:42448:1] |
Generators of the group modulo torsion |
j |
12692020761488/9261 |
j-invariant |
L |
5.0696170479709 |
L(r)(E,1)/r! |
Ω |
0.45357928557374 |
Real period |
R |
5.5884574199179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dp1 8400bb1 100800op1 33600hg1 |
Quadratic twists by: -4 8 -3 5 |