Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210g |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
147692160 |
Modular degree for the optimal curve |
Δ |
6.3643996613514E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1294282290,-13186095238700] |
[a1,a2,a3,a4,a6] |
Generators |
[-20877:2186464:1] |
Generators of the group modulo torsion |
j |
2528326645183247067/671088640000000 |
j-invariant |
L |
0.86002715452514 |
L(r)(E,1)/r! |
Ω |
0.025668310324367 |
Real period |
R |
5.5842343716546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999882229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cp1 123210cq1 |
Quadratic twists by: -3 37 |