Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
76296w |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-176793596584704 = -1 · 28 · 32 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6551,-604117] |
[a1,a2,a3,a4,a6] |
Generators |
[142597:690282:2197] |
Generators of the group modulo torsion |
j |
17408/99 |
j-invariant |
L |
10.693057952029 |
L(r)(E,1)/r! |
Ω |
0.28591595996994 |
Real period |
R |
9.3498260411806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76296n1 |
Quadratic twists by: 17 |