Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bb |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-233527836672 = -1 · 219 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35715,-2598014] |
[a1,a2,a3,a4,a6] |
Generators |
[49030:826704:125] |
Generators of the group modulo torsion |
j |
-1687284042625/78208 |
j-invariant |
L |
5.7910213183732 |
L(r)(E,1)/r! |
Ω |
0.1736423631406 |
Real period |
R |
8.3375698370759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998g1 9776b1 |
Quadratic twists by: -4 -3 |