Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bm |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-2.0421391896111E+22 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6825846,397859223] |
[a1,a2,a3,a4,a6] |
Generators |
[1693:-130501:1] |
Generators of the group modulo torsion |
j |
298954383299125345007/173578967063986176 |
j-invariant |
L |
10.004942217241 |
L(r)(E,1)/r! |
Ω |
0.073080178376282 |
Real period |
R |
0.95071970185464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854r1 |
Quadratic twists by: -7 |