Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150h |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
10225409220000000 = 28 · 34 · 57 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16436250,25641076500] |
[a1,a2,a3,a4,a6] |
Generators |
[2315:955:1] |
Generators of the group modulo torsion |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
3.175316652058 |
L(r)(E,1)/r! |
Ω |
0.29350462611131 |
Real period |
R |
0.54093127834616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450cz1 6630x1 |
Quadratic twists by: -3 5 |