Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150f |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-257500 = -1 · 22 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 0 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17,41] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-7:1] |
Generators of the group modulo torsion |
j |
-898425/412 |
j-invariant |
L |
2.846302015165 |
L(r)(E,1)/r! |
Ω |
2.9055607736573 |
Real period |
R |
0.16326750880418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bk1 46350cm1 5150j1 |
Quadratic twists by: -4 -3 5 |