Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802m |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-2050839485352 = -1 · 23 · 36 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3537,-105435] |
[a1,a2,a3,a4,a6] |
Generators |
[1766:24205:8] |
Generators of the group modulo torsion |
j |
-1164625/488 |
j-invariant |
L |
3.949071284072 |
L(r)(E,1)/r! |
Ω |
0.30331221299808 |
Real period |
R |
4.3399409528016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978h1 53802o1 |
Quadratic twists by: -3 -7 |