Atkin-Lehner |
2+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810f |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3003705348035072000 = -1 · 212 · 53 · 178 · 292 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-230001379,-1342610294498] |
[a1,a2,a3,a4,a6] |
Generators |
[2625176432551157628377807523450:718466397094142058874034200563677:33513801443635928983875000] |
Generators of the group modulo torsion |
j |
-192896193693180622249/430592000 |
j-invariant |
L |
3.7894137039505 |
L(r)(E,1)/r! |
Ω |
0.019383712031628 |
Real period |
R |
48.873684485297 |
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 |
83810i2 |
Quadratic twists by: 17 |