Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462m |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
27365804397969408 = 214 · 34 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-197741,32879144] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:7150:1] |
Generators of the group modulo torsion |
j |
7268126762877625/232605499392 |
j-invariant |
L |
4.3987437118976 |
L(r)(E,1)/r! |
Ω |
0.37277955861637 |
Real period |
R |
2.9499630614299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386bo1 3066c1 |
Quadratic twists by: -3 -7 |