Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19800z |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-900055280044800 = -1 · 28 · 319 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285420,-58709180] |
[a1,a2,a3,a4,a6] |
Generators |
[6104:475002:1] |
Generators of the group modulo torsion |
j |
-551149496796160/192913083 |
j-invariant |
L |
4.771481638453 |
L(r)(E,1)/r! |
Ω |
0.10327360561085 |
Real period |
R |
5.7752917725571 |
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 |
39600y1 6600n1 19800p1 |
Quadratic twists by: -4 -3 5 |