Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800ci |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1.196032E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -3 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-648033,112172063] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:11776:1] |
Generators of the group modulo torsion |
j |
7347774183121/2920000000 |
j-invariant |
L |
5.1405476952771 |
L(r)(E,1)/r! |
Ω |
0.20522148019487 |
Real period |
R |
3.1310975053224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999956937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800p1 29200w1 23360n1 |
Quadratic twists by: -4 8 5 |