Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bc |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-112090095000 = -1 · 23 · 33 · 54 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,624,14998] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:101:1] |
Generators of the group modulo torsion |
j |
43092089975/179344152 |
j-invariant |
L |
5.8465046568988 |
L(r)(E,1)/r! |
Ω |
0.75270126698136 |
Real period |
R |
1.2945606518297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99450du1 33150bh1 |
Quadratic twists by: -3 5 |