Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fx |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-51372630000000000 = -1 · 210 · 311 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65508,-8790424] |
[a1,a2,a3,a4,a6] |
j |
41646570900224/68818359375 |
j-invariant |
L |
3.7451173548323 |
L(r)(E,1)/r! |
Ω |
0.18725587018113 |
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 |
83520ci1 20880q1 27840cq1 |
Quadratic twists by: -4 8 -3 |