Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722br |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
4200138300035718144 = 210 · 313 · 137 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 0 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1219874,-508820191] |
[a1,a2,a3,a4,a6] |
Generators |
[-627:3355:1] |
Generators of the group modulo torsion |
j |
57053285789473/1193647104 |
j-invariant |
L |
9.6018229108861 |
L(r)(E,1)/r! |
Ω |
0.14383791345302 |
Real period |
R |
0.83443080718972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574i1 9594h1 |
Quadratic twists by: -3 13 |