Atkin-Lehner |
3- 5- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32595f |
Isogeny class |
Conductor |
32595 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-2132510367919921875 = -1 · 33 · 512 · 41 · 534 |
Discriminant |
Eigenvalues |
0 3- 5- 4 3 -4 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,173835,-64425706] |
[a1,a2,a3,a4,a6] |
Generators |
[546:13912:1] |
Generators of the group modulo torsion |
j |
580942139175043334144/2132510367919921875 |
j-invariant |
L |
7.0466445378328 |
L(r)(E,1)/r! |
Ω |
0.13255479275859 |
Real period |
R |
0.36916833027568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97785a1 |
Quadratic twists by: -3 |