Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305p |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-467504772525 = -1 · 33 · 52 · 77 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 3 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1606,-21499] |
[a1,a2,a3,a4,a6] |
Generators |
[21:136:1] |
Generators of the group modulo torsion |
j |
545196438191/555891525 |
j-invariant |
L |
9.2847604506521 |
L(r)(E,1)/r! |
Ω |
0.50817745990148 |
Real period |
R |
0.43501678494119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88305d1 |
Quadratic twists by: 29 |