Atkin-Lehner |
2+ 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040d |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-87476400 = -1 · 24 · 32 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231,1350] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:45:1] [2:30:1] |
Generators of the group modulo torsion |
j |
-85569378304/5467275 |
j-invariant |
L |
10.77058569679 |
L(r)(E,1)/r! |
Ω |
1.8836933824258 |
Real period |
R |
1.4294504877072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080f1 |
Quadratic twists by: -4 |