Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bh |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-244095704375472 = -1 · 24 · 37 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -2 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29478,-2088025] |
[a1,a2,a3,a4,a6] |
Generators |
[14450:611235:8] |
Generators of the group modulo torsion |
j |
-34816/3 |
j-invariant |
L |
8.2415867362816 |
L(r)(E,1)/r! |
Ω |
0.18128549087937 |
Real period |
R |
3.7884934495235 |
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 |
20808s1 13872h1 41616bc1 |
Quadratic twists by: -4 -3 17 |