Atkin-Lehner |
2- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514m |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1546547408 = 24 · 72 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 0 2 7- -2 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2134,-37355] |
[a1,a2,a3,a4,a6] |
Generators |
[55:69:1] |
Generators of the group modulo torsion |
j |
21924014011137/31562192 |
j-invariant |
L |
10.902037571241 |
L(r)(E,1)/r! |
Ω |
0.70251305415227 |
Real period |
R |
3.8796565794736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514l1 |
Quadratic twists by: -7 |