Atkin-Lehner |
3- 5+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88245d |
Isogeny class |
Conductor |
88245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-603099421875 = -1 · 39 · 56 · 37 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1302,-32697] |
[a1,a2,a3,a4,a6] |
Generators |
[21:62:1] [418:3371:8] |
Generators of the group modulo torsion |
j |
334833680384/827296875 |
j-invariant |
L |
7.8646296268388 |
L(r)(E,1)/r! |
Ω |
0.47302748194347 |
Real period |
R |
2.0782697431608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29415b1 |
Quadratic twists by: -3 |