Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072cq |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
21695808 = 26 · 3 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 4 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203,-1161] |
[a1,a2,a3,a4,a6] |
Generators |
[-6930:197:729] |
Generators of the group modulo torsion |
j |
14526784000/338997 |
j-invariant |
L |
8.0296411665312 |
L(r)(E,1)/r! |
Ω |
1.2660902914356 |
Real period |
R |
6.3420762488671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cb1 37536c1 |
Quadratic twists by: -4 8 |