Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550bp |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2824340718500 = -1 · 22 · 53 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -6 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11377,476881] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:533:1] [-40:-911:1] |
Generators of the group modulo torsion |
j |
-11074654989/192052 |
j-invariant |
L |
4.1366847499395 |
L(r)(E,1)/r! |
Ω |
0.80663123777727 |
Real period |
R |
0.10684055892494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550dk1 6650k1 |
Quadratic twists by: 5 -7 |