Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760y |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-154897920000 = -1 · 212 · 36 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15723,-759078] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8200:1] |
Generators of the group modulo torsion |
j |
-143960212521/51875 |
j-invariant |
L |
5.4666811058954 |
L(r)(E,1)/r! |
Ω |
0.21317011420044 |
Real period |
R |
3.2055860213377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3735d1 6640i1 |
Quadratic twists by: -4 -3 |