Atkin-Lehner |
2- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56848h |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-10630576 = -1 · 24 · 112 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11- 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[22799:184624:343] |
Generators of the group modulo torsion |
j |
-1213857792/664411 |
j-invariant |
L |
5.9194522517568 |
L(r)(E,1)/r! |
Ω |
0.85091332648765 |
Real period |
R |
6.9565866082353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14212a1 |
Quadratic twists by: -4 |