Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184x |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
276512850772992 = 210 · 318 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19587,-687890] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:320:1] |
Generators of the group modulo torsion |
j |
1113268695556/370414377 |
j-invariant |
L |
3.1446702978236 |
L(r)(E,1)/r! |
Ω |
0.41434531530708 |
Real period |
R |
3.7947458094515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368p1 16728c1 |
Quadratic twists by: -4 -3 |