Atkin-Lehner |
2+ 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050z |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1113522376797388800 = -1 · 216 · 34 · 52 · 112 · 375 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129826,53857268] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:8537:1] |
Generators of the group modulo torsion |
j |
-9679745169802890625/44540895071895552 |
j-invariant |
L |
6.446285844159 |
L(r)(E,1)/r! |
Ω |
0.23921639005774 |
Real period |
R |
1.6842193176927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bv1 |
Quadratic twists by: 5 |