Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325c |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-6231775341796875 = -1 · 37 · 511 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3383,-3797707] |
[a1,a2,a3,a4,a6] |
Generators |
[1706:18121:8] |
Generators of the group modulo torsion |
j |
-274118311936/398833621875 |
j-invariant |
L |
5.436422998599 |
L(r)(E,1)/r! |
Ω |
0.19166282881349 |
Real period |
R |
3.5455642550449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065o1 |
Quadratic twists by: 5 |