Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304by |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.8789324878503E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4075297,-3136266335] |
[a1,a2,a3,a4,a6] |
Generators |
[-72877469520:-185862025195:58863869] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
7.0910291701837 |
L(r)(E,1)/r! |
Ω |
0.10632511478082 |
Real period |
R |
16.672987476086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304ij2 3822m2 2496j2 |
Quadratic twists by: -4 8 -7 |