Atkin-Lehner |
2- 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170z |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-1031025968696079360 = -1 · 210 · 324 · 5 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1229243,527148587] |
[a1,a2,a3,a4,a6] |
j |
-281779298853002968681/1414301740323840 |
j-invariant |
L |
5.5690619650375 |
L(r)(E,1)/r! |
Ω |
0.27845309835137 |
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 |
21390h1 |
Quadratic twists by: -3 |