Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fq |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3281116734000000000 = -1 · 210 · 314 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307333,109170037] |
[a1,a2,a3,a4,a6] |
Generators |
[237205:9965436:125] |
Generators of the group modulo torsion |
j |
-1605176213504/1640558367 |
j-invariant |
L |
4.6575060377872 |
L(r)(E,1)/r! |
Ω |
0.22887416808742 |
Real period |
R |
10.17481805987 |
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 |
33600dv1 8400cp1 100800oz1 33600hn1 |
Quadratic twists by: -4 8 -3 5 |