Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360x |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
534164480 = 210 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1952,-33176] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1653:1] |
Generators of the group modulo torsion |
j |
803273048064/521645 |
j-invariant |
L |
5.267249072062 |
L(r)(E,1)/r! |
Ω |
0.71828455843171 |
Real period |
R |
3.6665476271144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360cd1 6460a1 |
Quadratic twists by: -4 8 |