Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325d |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-14318551025390625 = -1 · 3 · 513 · 13 · 673 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 1 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-214125,38480250] |
[a1,a2,a3,a4,a6] |
Generators |
[-20930:1053852:125] |
Generators of the group modulo torsion |
j |
-69487867377124561/916387265625 |
j-invariant |
L |
7.5696432472951 |
L(r)(E,1)/r! |
Ω |
0.39692465153298 |
Real period |
R |
9.5353654881029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065p1 |
Quadratic twists by: 5 |