Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280be |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-196362129899520 = -1 · 224 · 36 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119776,-15929600] |
[a1,a2,a3,a4,a6] |
Generators |
[662380016:27948298752:357911] |
Generators of the group modulo torsion |
j |
-46395601158168289/47939973120 |
j-invariant |
L |
5.6646949181843 |
L(r)(E,1)/r! |
Ω |
0.12830686627541 |
Real period |
R |
11.037396288025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410u1 |
Quadratic twists by: -4 |