Atkin-Lehner |
2- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050x |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
4048810976562500 = 22 · 510 · 175 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53984563,152665077117] |
[a1,a2,a3,a4,a6] |
Generators |
[73145878:-195205863:17576] |
Generators of the group modulo torsion |
j |
1113557012183790861995881/259123902500 |
j-invariant |
L |
6.3594726709918 |
L(r)(E,1)/r! |
Ω |
0.25785854058172 |
Real period |
R |
12.331320608259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410g1 |
Quadratic twists by: 5 |