Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200dc |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
212544 |
Modular degree for the optimal curve |
Δ |
-336982670000 = -1 · 24 · 54 · 173 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56733,-5182388] |
[a1,a2,a3,a4,a6] |
j |
-2019475623116800/33698267 |
j-invariant |
L |
1.3920418313821 |
L(r)(E,1)/r! |
Ω |
0.15467123346927 |
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 |
32300v1 129200bi1 |
Quadratic twists by: -4 5 |