Atkin-Lehner |
2- 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83472o |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-8408290291175522304 = -1 · 217 · 39 · 375 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 4 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-338296,-158630288] |
[a1,a2,a3,a4,a6] |
j |
-1045335347591077369/2052805246869024 |
j-invariant |
L |
1.8613433522158 |
L(r)(E,1)/r! |
Ω |
0.093067168917415 |
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 |
10434c1 |
Quadratic twists by: -4 |