Atkin-Lehner |
2- 3+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696h |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-301572864 = -1 · 28 · 32 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 -3 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,-839] |
[a1,a2,a3,a4,a6] |
Generators |
[40:249:1] |
Generators of the group modulo torsion |
j |
524288/1178019 |
j-invariant |
L |
6.8290598133771 |
L(r)(E,1)/r! |
Ω |
0.80111356609261 |
Real period |
R |
1.065557385086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18924a1 |
Quadratic twists by: -4 |