Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520a |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4091904 |
Modular degree for the optimal curve |
Δ |
-4.7023388105941E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7792676,-8376841824] |
[a1,a2,a3,a4,a6] |
Generators |
[2510654406417117244237033241381722233359:66494435576735082523375141017081623743158:706001165058088575124314869611011223] |
Generators of the group modulo torsion |
j |
-204429544870366251494224/183685109788830375 |
j-invariant |
L |
5.1492212317939 |
L(r)(E,1)/r! |
Ω |
0.04517773974655 |
Real period |
R |
56.988477872891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760v1 |
Quadratic twists by: -4 |