Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dv |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1995840000000 = 212 · 34 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4408,91312] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:450:1] |
Generators of the group modulo torsion |
j |
148035889/31185 |
j-invariant |
L |
4.4859503250964 |
L(r)(E,1)/r! |
Ω |
0.7837871519355 |
Real period |
R |
0.715428658647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775s1 18480cw1 |
Quadratic twists by: -4 5 |