Atkin-Lehner |
2- 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
83472s |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
27554688 |
Modular degree for the optimal curve |
Δ |
-1.2412294611645E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 3 5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123234392,751347432468] |
[a1,a2,a3,a4,a6] |
j |
-50531192563070333260406233/30303453641711290417152 |
j-invariant |
L |
3.7010353647321 |
L(r)(E,1)/r! |
Ω |
0.054426992169293 |
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 |
10434a1 |
Quadratic twists by: -4 |