Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350eq |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
22276187136000000 = 216 · 37 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159080,23381547] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:921:1] [-51:5625:1] |
Generators of the group modulo torsion |
j |
39085920587953/1955659776 |
j-invariant |
L |
15.978272796534 |
L(r)(E,1)/r! |
Ω |
0.37646989217311 |
Real period |
R |
0.22105398744634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450k1 3654f1 |
Quadratic twists by: -3 5 |