Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59536h |
Isogeny class |
Conductor |
59536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3864960 |
Modular degree for the optimal curve |
Δ |
-3.0655502333599E+21 |
Discriminant |
Eigenvalues |
2- -2 3 3 3 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-983584,2689867764] |
[a1,a2,a3,a4,a6] |
Generators |
[-51834801260:449286645362:32461759] |
Generators of the group modulo torsion |
j |
-2197/64 |
j-invariant |
L |
5.9642629564118 |
L(r)(E,1)/r! |
Ω |
0.11887061449185 |
Real period |
R |
12.543602516711 |
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 |
7442c1 59536i1 |
Quadratic twists by: -4 61 |