Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bz |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-19780200 = -1 · 23 · 35 · 52 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133,617] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
-10412204665/791208 |
j-invariant |
L |
10.549786818799 |
L(r)(E,1)/r! |
Ω |
2.1249435620152 |
Real period |
R |
0.33098249469525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050l1 |
Quadratic twists by: 5 |