Atkin-Lehner |
3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89739i |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
918528 |
Modular degree for the optimal curve |
Δ |
1368330367596309 = 37 · 139 · 59 |
Discriminant |
Eigenvalues |
-2 3- 1 -2 -6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-243867,-46318802] |
[a1,a2,a3,a4,a6] |
Generators |
[676:9886:1] |
Generators of the group modulo torsion |
j |
207474688/177 |
j-invariant |
L |
2.8314610983519 |
L(r)(E,1)/r! |
Ω |
0.21484909961082 |
Real period |
R |
1.6473545415941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999235082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29913g1 89739l1 |
Quadratic twists by: -3 13 |