Atkin-Lehner |
3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
71289f |
Isogeny class |
Conductor |
71289 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2306880 |
Modular degree for the optimal curve |
Δ |
-7.7483877462634E+19 |
Discriminant |
Eigenvalues |
1 3- -2 5 2 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,925272,248776951] |
[a1,a2,a3,a4,a6] |
Generators |
[6361321766:542392364963:24137569] |
Generators of the group modulo torsion |
j |
30527/27 |
j-invariant |
L |
8.7400402420229 |
L(r)(E,1)/r! |
Ω |
0.12586752975424 |
Real period |
R |
17.359600722856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23763b1 71289d1 |
Quadratic twists by: -3 89 |