Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bm |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
23708160 |
Modular degree for the optimal curve |
Δ |
6.5911009163481E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70937627,-193959203893] |
[a1,a2,a3,a4,a6] |
Generators |
[-3789:144778:1] |
Generators of the group modulo torsion |
j |
54153452174452415947162729/9041290694578979657856 |
j-invariant |
L |
12.788120618978 |
L(r)(E,1)/r! |
Ω |
0.052611556472826 |
Real period |
R |
1.2401365336812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506p1 |
Quadratic twists by: -3 |