Atkin-Lehner |
3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6555h |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-63372465871875 = -1 · 35 · 55 · 193 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 5 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12135,-646488] |
[a1,a2,a3,a4,a6] |
j |
-197626550799590641/63372465871875 |
j-invariant |
L |
1.1188886599965 |
L(r)(E,1)/r! |
Ω |
0.2237777319993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880dl1 19665p1 32775z1 124545bm1 |
Quadratic twists by: -4 -3 5 -19 |