Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968q |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1025847209230336 = 223 · 19 · 235 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26241,541151] |
[a1,a2,a3,a4,a6] |
Generators |
[10:529:1] |
Generators of the group modulo torsion |
j |
7623273198241/3913296544 |
j-invariant |
L |
5.8005712626691 |
L(r)(E,1)/r! |
Ω |
0.43451829411853 |
Real period |
R |
1.334942933631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968be1 874e1 |
Quadratic twists by: -4 8 |